Zóna placeného stání má nové značení.

Because placeného stání is in the genitive case.

The main noun is zóna = zone, and Czech often uses the pattern:

• zóna čeho? = zone of what?

So:

• zóna placeného stání = zone of paid parking

Here, stání is a neuter noun, and in the genitive singular it stays stání.
The adjective placené has to match it, so it becomes placeného.

Compare:

• nominative: placené stání
• genitive: placeného stání

So the sentence is built as:

• zóna
  • placeného stání
• literally: zone of paid parking

In this context, stání means something like parking or standing/being parked.

It comes from the verb stát = to stand. In traffic language, Czech often uses stání for the state of a vehicle being stationary, especially in official or legal wording.

So:

• placené stání = paid parking
• more literally: paid standing

A learner may expect parkování, and that word also exists, but stání is very common in road signs and administrative language.

Yes, má literally means has. It is the 3rd person singular form of mít = to have.

So:

• zóna ... má nové značení
• literally: the zone ... has new signage/marking

In English, we might also say:

• The paid parking zone has new signs
• The paid parking zone has new markings/signage

Czech often uses mít in places where English might choose there is/are, features, or is equipped with.

Because značení is a neuter noun, and the adjective has to agree with it.

• značení is neuter singular
• nominative/accusative neuter singular adjective ending: -é

So:

• nové značení = new signage/marking

Compare the adjective nový in different genders:

• masculine: nový
• feminine: nová
• neuter: nové

Since značení is neuter, nové is correct.

Značení is a fairly broad word. It can mean:

• marking
• signage
• road marking / sign system
• designation / labeling, depending on context

In this sentence, the most natural translation is probably:

• new signage
• new parking markings/signs

It does not necessarily refer to just one physical sign. It can refer to the whole system of signs or markings in that area.

That is why English translations may vary a bit.

Czech does not have articles like a/an and the.

So zóna can mean:

• a zone
• the zone

You understand which one is meant from context.

In this sentence, English usually needs the:

• The paid parking zone has new signage.

But Czech simply says:

• Zóna placeného stání má nové značení.

This is normal and one of the big differences from English.

The basic order here is very straightforward:

• Zóna placeného stání = subject
• má = verb
• nové značení = object

So the structure is:

• Subject + Verb + Object

That makes it quite neutral and standard.

Czech word order is flexible, but this sentence uses an unmarked, natural order for giving information plainly.

Yes, that is a very good idea.

Placené stání / placeného stání is a common traffic and parking expression. You will see related phrases such as:

• zóna placeného stání = paid parking zone
• oblast placeného stání = paid parking area
• režim placeného stání = paid parking system/regime

It is useful to learn placené stání as a set phrase meaning paid parking, and then notice how the form changes depending on case.

A simple learner-friendly guide would be:

• Zóna ≈ zoh-na
• placeného ≈ pla-tse-neh-ho
• stání ≈ staa-nee
• má ≈ maa
• nové ≈ no-veh
• značení ≈ zna-che-nee

A few useful pronunciation points:

• á, é, í, ó, ú/ů are long vowels.
• c is pronounced like ts.
• č is pronounced like ch in check.
• značení begins with zn-, which English speakers may find a little unusual, but Czech allows that cluster naturally.

Yes. Depending on style and context, Czech might also use alternatives such as:

• Zóna placeného stání má nové dopravní značení.
• V zóně placeného stání je nové značení.
• Zóna placeného stání je nově označena.

These are slightly different in nuance:

• má nové značení = has new signage/marking
• je nové značení = there is new signage
• je nově označena = is newly marked

So your original sentence is natural, compact, and informative.