A fizetés itt nagyon jó.

In Hungarian, the verb to be is usually left out in the present tense, third person when you are saying something like X is Y.

So:

• A fizetés itt nagyon jó. = The salary/pay here is very good.

But in other persons, Hungarian does use the verb:

• Én fáradt vagyok. = I am tired.
• Te fáradt vagy. = You are tired.

And in the past tense, it also appears:

• A fizetés itt nagyon jó volt. = The salary/pay here was very good.

So the missing is is completely normal here.

A is the Hungarian definite article, meaning the.

So:

• a fizetés = the salary / the pay

Hungarian has two forms of the definite article:

• a
• az

Which one is used depends on the sound that follows:

• a fizetés
• az autó

Use a before words beginning with a consonant sound, and az before words beginning with a vowel sound.

It can mean more than one thing, depending on context.

Most commonly:

• fizetés = salary / pay

It can also mean:

• payment

In this sentence, the most natural meaning is salary or pay:

• A fizetés itt nagyon jó. = The pay here is very good.

So yes, fizetés is one of those Hungarian words whose exact English translation depends on the situation.

Itt means here.

It tells you the place or context:

• A fizetés itt nagyon jó. = The salary here is very good.

So the sentence is not just saying that the pay is good in general, but that it is good in this place / at this company / in this country / in this job context, depending on the wider conversation.

A useful pair is:

• itt = here
• ott = there

Because nagyon means very, and in Hungarian it normally comes before the adjective or adverb it modifies.

So:

• nagyon jó = very good
• nagyon drága = very expensive
• nagyon gyorsan = very quickly

This works much like English word order in phrases such as very good.

No. Hungarian adjectives do not behave like English adjectives in terms of gender, because Hungarian has no grammatical gender.

Also, in this kind of sentence, the adjective does not need to agree in gender the way it would in some other languages.

So:

• A fizetés jó. = The salary is good.
• Az autók jók. = The cars are good.

Notice that in the plural predicate form, Hungarian often adds -k:

• jó = good
• jók = good (plural subject)

But there is no masculine/feminine distinction at all.

Yes, this is a normal and natural word order.

• A fizetés itt nagyon jó.

This is a straightforward statement with a fizetés as the topic, and the rest as the comment about it.

But Hungarian word order is flexible, and changing the order can change the emphasis.

For example:

• Itt a fizetés nagyon jó.
  This puts more focus on here: Here, the pay is very good.

• Nagyon jó itt a fizetés.
  This can sound more like: The pay is very good here, with a slightly different rhythm or emphasis.

So the original sentence is neutral and natural, but other versions are possible depending on what you want to highlight.

Normally, no—not in standard everyday Hungarian.

If you mean the pay / the salary, you usually need the definite article:

• A fizetés itt nagyon jó.

Leaving out a would sound unnatural in ordinary speech, unless you were speaking in a very telegraphic style, like a note, headline, or broken speech.

So for normal sentence-building, keep the article.

A simple pronunciation guide:

• A ≈ aw (short)
• fizetés ≈ fee-zeh-TAYSH
• itt ≈ it but with a longer tt
• nagyon ≈ NODJ-on or NOD-yon depending on how carefully you describe it
• jó ≈ yoh with a long vowel

A rough full pronunciation:

• aw FEE-zeh-taysh it NAWD-yon yoh

A few useful points:

• Hungarian stress is usually on the first syllable of each word.
• é is a long vowel, like ay in say, but cleaner and more pure.
• ó is also long.
• tt in itt is pronounced longer than a single t.

Because itt is an independent adverb meaning here.

Hungarian often uses suffixes for location, but it also has separate location words like:

• itt = here
• ott = there

So in this sentence:

• A fizetés itt nagyon jó.

itt works like an adverb of place, not like a noun ending.

If you wanted a suffix-based expression, you would need a different structure, such as a noun with a case ending, for example:

• ebben a városban = in this city
• ennél a cégnél = at this company

But itt by itself is perfectly normal and very common.

Yes, very possibly.

Fizu is an informal, colloquial word for salary/pay, while fizetés is the standard, neutral form.

So:

• A fizetés itt nagyon jó. = neutral / standard
• A fizu itt nagyon jó. = more casual

A learner should know both, but fizetés is safer in formal or general contexts.

In the past and future, Hungarian uses the verb to be.

Past:

• A fizetés itt nagyon jó volt. = The pay here was very good.

Future:

• A fizetés itt nagyon jó lesz. = The pay here will be very good.

This helps show an important pattern:

• Present, 3rd person: no is
• Past/future: the verb appears

So the original sentence is a good example of a specifically Hungarian grammar feature.