عندنا اجتماع مع المدير بعد ساعة.

In Arabic, possession is often expressed with a location-style phrase rather than a verb like have.

• عند literally means something like at or with
• نا means us / our

So عندنا literally means at us or with us, but in natural English this becomes we have.

In this sentence:

• عندنا اجتماع = we have a meeting

This is a very common pattern in both Egyptian Arabic and Modern Standard Arabic.

-نا is a attached pronoun meaning us or our, depending on context.

With عند, it gives:

• عندي = I have
• عندك = you have
• عنده = he has
• عندها = she has
• عندنا = we have
• عندهم = they have

So عندنا is made of:

• عند = at/with
• نا = us

Together: with us / we have.

Arabic does not have an indefinite article like English a/an.

So:

• اجتماع = a meeting or just meeting
• الاجتماع = the meeting

That means the noun by itself is automatically indefinite unless it has الـ on it.

In your sentence:

• عندنا اجتماع = we have a meeting

If it were عندنا الاجتماع, it would mean we have the meeting, which is less natural unless a specific meeting has already been mentioned.

Because the sentence is talking about:

• an unspecified meeting
• with the manager, a specific person

So:

• اجتماع = a meeting
• المدير = the manager

This is very natural. In many contexts, the speaker and listener both know which manager is meant, so المدير is definite.

If you said مع مدير, that would sound more like with a manager or with some manager, which is less specific.

بعد ساعة literally means after an hour, but in this kind of sentence it usually means:

• in an hour
• an hour from now

So:

• عندنا اجتماع مع المدير بعد ساعة
  = We have a meeting with the manager in an hour

This is a very common Arabic way to express future time.

Because it means one hour.

Arabic often uses the singular noun when the meaning is one unit, even if the number one is not explicitly stated.

So:

• بعد ساعة = in an hour
• بعد ساعتين = in two hours
• بعد ثلاث ساعات = in three hours

Here, ساعة is singular because only one hour is meant.

In Egyptian Arabic, اجتماع is commonly pronounced something like egtimāʿ or igtimāʿ.

A rough pronunciation of the whole sentence is:

• ʿandena egtimāʿ maʿ el-modīr baʿd sāʿa

A few useful notes:

• ج in Egyptian Arabic is usually pronounced like g in go
• ع is a consonant English does not really have
• الـ is often pronounced el- in Egyptian speech

So المدير is often said as el-modīr.

It works in both.

The vocabulary is shared and very common:

• عندنا
• اجتماع
• مع
• المدير
• بعد ساعة

What makes it sound more Egyptian is mainly the pronunciation, not the wording.

For example, in Egyptian speech you might hear:

• ʿandena instead of a more careful ʿindanā
• el-modīr instead of al-mudīr
• egtimāʿ instead of a more standard-style ijtimāʿ

So the sentence itself is perfectly fine for an Egyptian learner context.

Yes, Arabic word order is fairly flexible, but the given order is very natural.

The sentence as written:

• عندنا اجتماع مع المدير بعد ساعة

puts the main information first: we have a meeting, then adds with the manager, then in an hour.

You could also say:

• بعد ساعة عندنا اجتماع مع المدير

This puts emphasis on the time: In an hour, we have a meeting with the manager.

Both are understandable, but the original version is very normal and straightforward.

مع means with, and it is the normal preposition to use with meetings involving another person.

So:

• اجتماع مع المدير = a meeting with the manager

This is the same idea as in English. It shows who the meeting is with.

Using a different preposition would change the meaning or sound unnatural.

There is no separate verb like English have in this sentence, because Arabic often expresses this idea without one.

Instead of saying something structurally like we have, Arabic says:

• عندنا اجتماع
• literally: at us [there is] a meeting

So the meaning is complete even without an independent verb. This is a very normal Arabic pattern, and learners see it often with possession and availability.

For example:

• عندي سؤال = I have a question
• عندهم عربية = They have a car
• عندنا مشكلة = We have a problem