Szefowa chce rozmawiać ze mną w sprawie nowego projektu.

Szefowa means female boss/manager, while szef is male boss/manager.

So the sentence tells you that the boss is a woman. In Polish, nouns often show gender much more clearly than in English.

• szef = male boss
• szefowa = female boss

If the boss were a man, the sentence would begin:

Szef chce rozmawiać ze mną...

It literally means wants to talk or wants to have a conversation.

• chce = wants
• rozmawiać = to talk / to converse

Polish often uses a structure like:

[conjugated verb] + [infinitive]

So:

• chce pracować = wants to work
• chce iść = wants to go
• chce rozmawiać = wants to talk

Because after chce (wants), Polish normally uses the infinitive.

• rozmawiać = to talk (infinitive)
• rozmawia = he/she talks / is talking (finite verb form)

So:

• Szefowa chce rozmawiać = The boss wants to talk
• Szefowa rozmawia = The boss is talking / talks

Both z and ze mean with, but ze is used in some places for easier pronunciation.

The basic preposition is z, but before certain word combinations Polish often uses ze instead:

• ze mną = with me
• ze szkoły = from school
• ze względu na = because of / due to

So ze mną is the normal, correct form here.
Using z mną would sound awkward or nonstandard.

Because the preposition z / ze requires the instrumental case.

The pronoun ja (I) changes depending on its grammatical role:

• ja = I
• mnie / mnie = me (in some contexts/cases)
• mną = me, after instrumental constructions

Since ze takes the instrumental here:

• ze mną = with me

Compare:

• On widzi mnie = He sees me
• On idzie ze mną = He is going with me

It is the instrumental case.

The preposition z / ze meaning with usually takes the instrumental:

• z kolegą = with a male friend
• z koleżanką = with a female friend
• z nauczycielem = with a teacher
• ze mną = with me

So mną is the instrumental form of ja.

W sprawie means something like:

• regarding
• about
• concerning
• in the matter of

It is a common Polish expression used in more formal or business-like situations.

So:

w sprawie nowego projektu = regarding the new project

It sounds a bit more formal and purposeful than just about in general conversation.

Because the expression w sprawie requires the noun sprawa to be in the locative case:

• dictionary form: sprawa
• after w sprawie: sprawie

This is a fixed and very common phrase in Polish.

You can think of it as a set expression:

• w sprawie pracy = regarding work
• w sprawie dokumentów = regarding documents
• w sprawie nowego projektu = regarding the new project

Both nowego and projektu are in the genitive case.

That is because sprawa often connects to another noun with the meaning matter/case of something, and that following noun goes into the genitive:

• sprawa projektu = the matter of the project
• w sprawie projektu = regarding the project

Since projekt is masculine, its genitive singular is:

• projekt → projektu

The adjective must match it:

• nowy projekt = new project
• nowego projektu = of the new project / regarding the new project

Because adjectives in Polish must agree with the noun they describe in:

• gender
• number
• case

Here, projektu is masculine singular genitive, so nowy also becomes masculine singular genitive:

• nowy projekt = new project
• nowego projektu = of the new project

This kind of agreement is one of the most important features of Polish grammar.

Yes, but the nuance is a bit different.

• rozmawiać o nowym projekcie = to talk about the new project
• rozmawiać w sprawie nowego projektu = to talk regarding the new project / in connection with the new project

O nowym projekcie is more neutral and general.
W sprawie nowego projektu sounds more formal, more business-like, and often suggests a specific issue, decision, or purpose.

Because rozmawiać means to talk / to have a conversation, while mówić usually means to speak / to say.

• rozmawiać z kimś = to talk with someone
• mówić = to speak, to say

So if the boss wants an actual discussion with you, rozmawiać is the natural choice.

Compare:

• Szefowa chce ze mną rozmawiać = The boss wants to talk with me
• Szefowa chce coś powiedzieć = The boss wants to say something

Yes, Polish word order is fairly flexible.

The original sentence:

Szefowa chce rozmawiać ze mną w sprawie nowego projektu.

is natural and neutral.

You could also say:

• Szefowa chce ze mną rozmawiać w sprawie nowego projektu.
• W sprawie nowego projektu szefowa chce rozmawiać ze mną.

These versions are still grammatical, but the emphasis changes a little.

For example:

• putting w sprawie nowego projektu first highlights the topic
• putting ze mną earlier can slightly emphasize with me

English word order is much stricter than Polish word order.

Yes, rozmawiać is imperfective.

That fits well here because the sentence is about the general action to talk / to have a discussion, not about completing a single finished event in a strongly result-focused way.

In many everyday contexts, rozmawiać is the normal verb for to talk.

Its perfective partner is often porozmawiać, which can suggest to have a talk as a more bounded, completed event.

For example:

• Chcę rozmawiać = I want to talk
• Chcę porozmawiać = I want to have a talk / I want to talk something over

In this sentence, rozmawiać sounds natural and standard.

You would change szefowa to szef:

Szef chce rozmawiać ze mną w sprawie nowego projektu.

Everything else stays the same.

That is because the rest of the sentence does not depend on the boss's gender here.

Chce is pronounced approximately like htse.

A few useful pronunciation notes:

• ch sounds like a throaty h
• c sounds like ts
• so chce is roughly h-tseh or htse

Polish spelling is usually consistent, but clusters like this can look difficult at first.

Approximately:

• ze = zeh
• mną = roughly mnon or mnaw with a nasal vowel at the end

The ą is a nasal vowel, and before pauses or at the end of a phrase it is often pronounced somewhat like on/om, depending on the speaker and context.

So ze mną is roughly:

zeh mnon

The exact sound is a bit hard to represent in English, but that approximation is good enough for a learner.

It is fairly neutral to slightly formal.

The main reason is the phrase w sprawie nowego projektu, which sounds professional and business-like.

This makes the sentence very natural in a workplace context.

A more casual version might be:

Szefowa chce ze mną pogadać o nowym projekcie.

But that is much less formal:

• pogadać = have a chat
• o nowym projekcie = about the new project

So the original sentence is a good standard workplace sentence.