Петрушку продають пучками.

Because it is the direct object of the verb продають (sell), so it appears in the accusative case.

• Dictionary form: петрушка
• Accusative singular: петрушку

This is normal for many feminine nouns ending in -а:

• книга → книгу
• цибуля → цибулю
• петрушка → петрушку

So Петрушку продають... literally starts with Parsley, they sell...

In Ukrainian, the 3rd person plural is often used with an indefinite or general meaning, like English they sell or a passive-style is sold.

So:

• продають = they sell
• but in context it often means is sold

This is very common when the speaker does not care who exactly does the action:

• Тут продають хліб. = They sell bread here. / Bread is sold here.
• У магазині не приймають картки. = They don’t accept cards in the shop.

So Петрушку продають пучками is a natural Ukrainian way to say Parsley is sold in bunches.

Продають is:

• present tense
• 3rd person plural
• from the imperfective verb продавати = to sell

The basic pattern is:

• я продаю
• ти продаєш
• він / вона продає
• ми продаємо
• ви продаєте
• вони продають

Here it is used in a general/habitual sense: this is how parsley is usually sold.

Пучками is the instrumental plural of пучок (bunch, bundle).

• singular: пучок
• plural: пучки
• instrumental plural: пучками

The instrumental case is often used to express manner, means, or form/packaging. Here it means something like:

• in bunches
• by the bunch
• as bunches

So пучками tells us the form in which the parsley is sold.

Both can exist, but they are not exactly the same in feel.

• пучками focuses on the manner/form of sale: sold in bunches, sold by bunches
• у пучках more literally means in bunches as a physical state or location/form

In this sentence, пучками is the more natural choice for talking about how something is sold.

Compare the nuance:

• Петрушку продають пучками. = parsley is sold by/in bunches
• Петрушка лежить у пучках. = the parsley is lying in bunches

Because the idea is in bunches, not as one bunch.

The sentence describes the usual unit of sale. Parsley is typically sold as multiple bunches in general, so plural is natural.

Compare:

• пучком = as a bunch / in one bunch
• пучками = in bunches / by the bunch

The plural gives a general commercial meaning, similar to English They sell it in bunches.

Grammatically, it is active:

• продають = they sell

But in meaning, English often translates it more naturally as a passive:

• Parsley is sold in bunches.

This is a very common difference between Ukrainian and English. Ukrainian often prefers an active verb with an unspecified they, where English may prefer the passive.

This word order is natural and neutral enough, especially in context. It puts the thing being talked about, петрушку, first.

The sentence could also be rearranged:

• Петрушку продають пучками.
• Пучками продають петрушку.
• Петрушку пучками продають.

These all mean roughly the same thing, but the emphasis changes.

• Петрушку... first = the topic is parsley
• Пучками... first = emphasis on the way it is sold

Ukrainian word order is more flexible than English because case endings show grammatical roles.

In this sentence, yes, it clearly means parsley.

You may also come across петрушка in other meanings in some contexts, but for everyday modern learners, the important meaning is simply parsley, especially in shopping, cooking, and market contexts.

So here:

• петрушку = parsley as the thing being sold

Yes. That is also correct.

• Петрушку продають пучками.
• Петрушка продається пучками.

Both can mean Parsley is sold in bunches.

The difference is mainly in style:

• продають = more everyday, active, indefinite they sell
• продається = more explicitly passive/reflexive, closer to is sold

In ordinary speech, Петрушку продають пучками sounds very natural.

A learner-friendly stress marking would be:

• петру́шку продаю́ть пучка́ми

Approximate pronunciation:

• петру́шку = peh-TROOSH-koo
• продаю́ть = proh-da-YOOT'
• пучка́ми = pooch-KA-my

The final -ть in продають is soft, and Ukrainian ю in this form represents a yu-type sound after the consonant.

No. Ukrainian has no articles like a, an, or the.

So петрушку can mean:

• parsley
• the parsley
• some parsley

The exact meaning depends on context.

In this sentence, English naturally uses bare parsley:

• Parsley is sold in bunches.

That is why there is no separate word for the or some in the Ukrainian sentence.