Я не хочу говорить об этом в чате.

Because Russian often uses the pattern [conjugated verb] + [infinitive], just like English want to speak.

• хочу = I want
• говорить = to speak / to talk

So:

• Я хочу говорить = I want to speak
• Я не хочу говорить = I don’t want to speak

This is a very common structure in Russian:

• Я хочу есть = I want to eat
• Он любит читать = He likes to read
• Мы должны уйти = We must leave

This is about verb aspect.

• говорить is imperfective
• сказать is perfective

In this sentence, говорить is used because it means to talk / to discuss / to speak about something in a general or ongoing sense.

So Я не хочу говорить об этом means:

• I don’t want to talk about it
• I don’t want to discuss it

If you used сказать, it would sound more like:

• I don’t want to say it
• I don’t want to tell it / mention it once

Compare:

• Я не хочу говорить об этом = I don’t want to talk about it
• Я не хочу сказать это = I don’t want to say this

So говорить об этом is the natural choice for talk about it.

The basic preposition is о = about.

But before certain sounds, Russian often changes it for easier pronunciation:

• о брате = about a brother
• об этом = about this / about it

об is used before words that begin with vowels, such as э- in этом.

So:

• о + этом becomes об этом

This is normal and standard Russian pronunciation/spelling.

этом is in the prepositional case because it follows о / об, which usually takes the prepositional when it means about.

Base form:

• это = this / it

Prepositional form:

• об этом = about this / about it

A few similar examples:

• о книге = about the book
• о нём = about him
• об этом = about this / about it

So the case is determined by the preposition об.

чате is also in the prepositional case.

The preposition в can take different cases depending on the meaning:

• в + accusative = motion into somewhere
• в + prepositional = location, being in somewhere

Here, в чате means in the chat, so it expresses location, not movement.

• чат = chat
• в чате = in the chat

Compare:

• Я в чате = I am in the chat
• Я войду в чат = I will enter the chat

So in your sentence, в чате is prepositional because it means inside / in the chat environment.

Because не usually goes directly before the word it negates.

Here it negates хочу:

• Я не хочу говорить = I do not want to talk

This is different from:

• Я хочу не говорить = I want not to speak

That second version is grammatically possible, but it means something different and is much less natural in this context. It suggests that not speaking itself is what you want.

So the normal sentence is:

• Я не хочу говорить об этом в чате = I don’t want to talk about it in the chat

Yes, very often.

Russian verbs show the person clearly, so хочу already means I want. Because of that, Russian often drops the subject pronoun when it is obvious from context.

So both are possible:

• Я не хочу говорить об этом в чате.
• Не хочу говорить об этом в чате.

The version with Я is a bit more explicit and can add emphasis or clarity.

Yes. Russian word order is more flexible than English word order. The basic meaning stays the same, but the emphasis can change.

Your sentence:

• Я не хочу говорить об этом в чате.

Other possible versions:

• Я не хочу об этом говорить в чате.
• Об этом я не хочу говорить в чате.
• В чате я не хочу говорить об этом.

These all mean roughly the same thing, but the first version is the most neutral.

Very roughly:

• об этом moved forward = more emphasis on about this / about it
• в чате moved forward = more emphasis on in the chat

For learners, the original sentence is a very natural default order.

Because говорить об этом means to talk about it, while говорить это means to say that.

This is an important difference.

• говорить об этом = talk about it, discuss it
• говорить это = say it, utter those words

Examples:

• Мы говорили об этом вчера. = We talked about it yesterday.
• Не говори это! = Don’t say that!

So if the meaning is discussing a topic, Russian normally uses о / об + prepositional.

Because Russian normally treats чат as something you are in, not on.

So the usual expression is:

• в чате = in the chat

This matches other digital spaces in Russian:

• в интернете = on the internet / in the internet
• в группе = in the group
• в комментариях = in the comments

English often says on for digital platforms, but Russian frequently uses в where English uses in or on.

So в чате is the natural standard phrase.

The main word stresses are:

• Я
• не хочу́
• говори́ть
• об э́том
• в ча́те

So the full sentence is pronounced approximately like:

ya ne kha-CHOO ga-va-REET' ob EH-tam f CHA-te

A few notes:

• хочу́ has stress on the last syllable
• говори́ть has stress on the last syllable
• э́том has stress on the first syllable
• ча́те has stress on the first syllable

It is neutral. It can work in many everyday situations.

• not especially formal
• not slangy
• not rude by itself

It simply states:

• I don’t want to talk about it in the chat

Depending on tone, it can sound:

• calm
• firm
• slightly defensive
• polite but direct

If you wanted to sound softer, you could say something like:

• Я бы не хотел говорить об этом в чате. = I’d rather not talk about it in the chat.
• Я не очень хочу говорить об этом в чате. = I don’t really want to talk about it in the chat.

So your original sentence is perfectly natural and neutral.