Przykryj proszę dziecko kocykiem.

Przykryj is the 2nd person singular imperative of przykryć.

That means it is a command or request directed to one person: cover ... / please cover ...

A few related forms:

• przykryć — infinitive
• przykryj — imperative to one person
• przykryjcie — imperative to more than one person

Polish often uses the perfective verb in commands when the speaker wants the action to be done once and completed.

So:

• przykryj = cover the child up / do it now and finish it
• przykrywaj = more like be covering, cover repeatedly, or keep covering

In this sentence, the natural idea is a single completed action, so przykryj fits best.

Here proszę is simply a polite please.

It softens the command, making it sound like a request rather than a blunt order.

In this sentence, Przykryj proszę dziecko kocykiem means something like:

• Please cover the child with a blanket

Yes. Polish word order is flexible, and proszę can move around.

All of these are possible:

• Przykryj proszę dziecko kocykiem
• Proszę, przykryj dziecko kocykiem
• Przykryj dziecko kocykiem, proszę

The differences are mostly about rhythm, emphasis, and tone, not basic meaning.

Dziecko is the direct object, so it is in the accusative case.

But dziecko is a neuter noun, and in the singular its nominative and accusative forms are the same:

• nominative: dziecko
• accusative: dziecko

So the case does change grammatically, but the form happens to stay the same.

Kocykiem is the instrumental singular form of kocyk.

After verbs like przykryć, Polish often uses the instrumental to express what something is covered with:

• przykryć dziecko kocykiem = cover the child with a blanket

So:

• base form: kocyk
• instrumental singular: kocykiem

Kocyk is a diminutive of koc.

That usually makes it sound:

• smaller
• softer
• more affectionate
• more natural when talking about a child

So:

• koc = blanket
• kocyk = little blanket / baby blanket / a more affectionate way to say blanket

That is why kocykiem sounds very natural here.

Yes. Przykryj proszę dziecko kocem is also correct.

The difference is mostly in tone:

• kocem comes from koc and sounds more neutral
• kocykiem comes from kocyk and sounds warmer, gentler, and more child-related

So both work, but kocykiem fits especially well with dziecko.

It is grammatically addressed to one person in the informal singular because of przykryj.

However, adding proszę makes it sound polite and softer. So it is not rude, but it is still not the most formal way to address a stranger in very formal speech.

More formal alternatives might be:

• Proszę przykryć dziecko kocykiem
• Niech pan/pani przykryje dziecko kocykiem

Polish has no articles, so it does not use separate words like the or a/an.

Whether dziecko means a child or the child depends on context. The same is true for kocykiem:

• with a blanket
• with the blanket

English requires an article, but Polish does not.

Yes, this word order is natural. Starting with the verb is very common in commands and requests.

But Polish allows other natural versions too, for example:

• Proszę, przykryj dziecko kocykiem
• Dziecko przykryj proszę kocykiem — possible, but more marked for emphasis
• Przykryj dziecko kocykiem, proszę

So the original sentence is perfectly normal, especially in everyday speech.