انا عايز اروح السوق، لكن ماعنديش وقت.

This is Egyptian Arabic colloquial speech, not Modern Standard Arabic.

A more formal MSA version would be something like:

أريد أن أذهب إلى السوق، لكن ليس عندي وقت

So if you already know some standard Arabic, this sentence is a good example of how everyday Egyptian often uses different words and simpler structures.

Not always.

أنا means I, but in conversation it is often dropped if the context already makes the subject clear:

عايز أروح السوق، لكن ماعنديش وقت

That sounds natural too.

Keeping أنا can make the sentence clearer, slightly more emphatic, or simply more complete.

In Egyptian Arabic, عايز is the very common everyday way to say want for a masculine speaker.

So:

• أنا عايز = I want, if the speaker is male
• أنا عايزة = I want, if the speaker is female

This is one of the first gender differences learners usually notice in Egyptian Arabic.

After عايز, Egyptian Arabic normally uses another verb in the present-tense form:

• عايز أروح = I want to go
• عايز آكل = I want to eat
• عايز أشوف = I want to see

So أروح here means I go or, in this structure, to go.

In English, you need to after want. In Egyptian Arabic, you do not use a separate word like to here.

Because Egyptian Arabic often says the destination directly after verbs of motion.

So:

• أروح السوق = go to the market

This is normal Egyptian usage.

Learners coming from English often expect a separate word matching English to, but in many everyday Egyptian sentences, you simply do not need one.

It is usually pronounced es-sūʔ or is-sūʔ in Egyptian Arabic.

Two things are happening:

• The ال in السوق changes in pronunciation because س is a sun letter
• The final ق in Egyptian Arabic is often pronounced as a glottal stop ء

So although the spelling is السوق, the everyday Egyptian pronunciation is closer to:

es-souʔ

not al-souq

لكن means but.

It is correct and fully understandable in Egyptian Arabic. However, in very everyday speech, many speakers would more often say:

بس

So a very natural conversational version would be:

أنا عايز أروح السوق، بس ماعنديش وقت

Both are fine. لكن sounds a bit more neutral or slightly more formal than بس.

This is a very important Egyptian pattern.

Start with:

عندي = I have
Literally, it is more like at me

To negate it, Egyptian Arabic often uses the pattern:

ما ... ش

So:

• عندي = I have
• ما عنديش or ماعنديش = I do not have

So ماعنديش وقت means I don’t have time.

This ما...ش negation is extremely common in Egyptian Arabic.

Because colloquial Arabic spelling is not as fixed as formal Arabic spelling.

You will see both:

• ماعنديش
• ما عنديش

They mean the same thing.

In texting and informal writing, people often join things together. In more careful writing, they may separate them to make the structure easier to see.

The same kind of variation happens with many colloquial forms.

Yes, absolutely.

Both are natural, but they are slightly different in feel:

• ماعنديش وقت = I don’t have time
• مافيش وقت = there isn’t time / there’s no time

In many situations, either one works well.

Your original sentence sounds very natural and personal because it focuses on I don’t have time.

In Egyptian Arabic, وقت is usually pronounced something like:

waʔt

Again, the ق is often a glottal stop in Egyptian speech.

So it does not usually sound like a strong q sound in careful MSA pronunciation.

Both can appear in informal writing, but أروح is clearer.

The form begins with the أ of the first-person verb, so أروح better shows the structure.

In casual typing, people often leave hamzas out, so اروح is very common online. But if you want a cleaner learner-friendly spelling, أروح is better.

A natural Egyptian pronunciation would be close to:

ana ʿāyez arūḥ es-sūʔ, lākin maʿandīš waʔt

And a very conversational version might sound like:

ana ʿāyez arūḥ es-sūʔ, bas maʿandīš waʔt

If you want to sound more natural, pay special attention to these parts:

• عايز = ʿāyez
• السوق = es-sūʔ
• ماعنديش = maʿandīš
• وقت = waʔt