यह मैच जीतिए।

Yes. यह is the direct-form demonstrative meaning this (and sometimes he/she/it, depending on context).
In यह मैच जीतिए, it modifies मैच, so it means this match.

A useful pattern:

• यह मैच = this match
• इस मैच में = in this match
• इस मैच को = this match (with को)

So learners often see यह and इस and wonder which one to use:

• यह = direct form
• इस = oblique form, used before postpositions like में, को, से, पर, etc.

Because there is no postposition after मैच here.

In Hindi, words like यह change form depending on whether the noun phrase is in the direct form or followed by a postposition.

Compare:

• यह मैच जीतिए। = Win this match.
• इस मैच में जीतिए। = Win in this match.
• इस मैच को जीतिए। = Win this match. (grammatically possible, but less natural here)

So in your sentence, मैच appears without a postposition, so यह is the expected form.

जीतिए is a polite imperative form of जीतना (to win).

It is the kind of form used with आप.
So the hidden subject is understood as आप:

• (आप) यह मैच जीतिए।

This makes it respectful, polite, or formal.

Compare the imperative levels:

• जीत — very intimate / blunt, used with तू
• जीतो — familiar, used with तुम
• जीतिए — polite/respectful, used with आप

So जीतिए is basically the please win / do win type of form.

It can be either.

That is because the polite form used with आप works for:

• one person respectfully
• more than one person

So जीतिए could mean:

• speaking politely to one person: Please win this match
• speaking to a group respectfully: Please win this match

Hindi does not distinguish singular and plural here when using the आप imperative.

Because Hindi often omits the subject when it is already obvious.

In commands and requests, this is very common. The verb form itself already tells you a lot:

• जीतिए strongly suggests an understood आप
• जीतो suggests तुम
• जीत suggests तू

So आप is not necessary unless the speaker wants emphasis, contrast, or extra clarity.

For example:

• यह मैच जीतिए। = normal
• आप यह मैच जीतिए। = more explicit or emphatic

It sounds polite and somewhat formal/respectful.

Whether it sounds natural depends on context:

• to a respected player, elder, customer, or audience: very natural
• in a motivational speech or commentary: natural
• among close friends/teammates: often too formal

Among friends, you would more likely hear:

• यह मैच जीतो।

So जीतिए is not wrong at all—it just carries politeness.

A simple learner-friendly pronunciation is:

• यह → yeh
• मैच → maich / match
• जीतिए → jee-ti-ye

So roughly:

yeh maich jee-ti-ye

A few notes:

• यह is written yah-like in spelling, but in normal speech it is very often pronounced yeh
• जी has a long ee sound
• तिए in जीतिए is usually said smoothly, close to ti-ye

Because मैच is completely normal modern Hindi, especially in sports.

Hindi uses many everyday loanwords from English, and मैच is one of the most common in contexts like cricket, football, tennis, etc.

A learner should treat मैच as a standard Hindi vocabulary item in modern usage.

You do not need to avoid it. In fact, it is often the most natural choice.

The order is:

यह मैच + जीतिए
object + verb

Hindi very often places the verb at the end. So with commands like this, the thing being acted on commonly comes before the verb.

That makes this sentence structurally very normal.

Compare:

• यह किताब पढ़िए। = Read this book.
• यह काम कीजिए। = Do this work.
• यह मैच जीतिए। = Win this match.

Yes, that is grammatically possible, but it is usually less natural than यह match जीतिए in a simple command.

Why?

Because many direct objects in Hindi do not need को, especially when the sentence is straightforward and the object is not being specially marked.

So:

• यह मैच जीतिए। = very natural
• इस मैच को जीतिए। = possible, but more marked or heavier

Learners should remember that Hindi does not use को for every direct object the way English always uses no marker.

The dictionary form is जीतना, meaning to win.

A few related forms:

• जीतना = to win
• जीता = won / wins (masculine context, depending on sentence)
• जीती = won / wins (feminine context, depending on sentence)
• जीतो = win! (to tum)
• जीतिए = win! (to aap)

So when you learn जीतिए, it is helpful to connect it back to the verb जीतना.

You may see both जीतिए and जीतिये.

In modern standard writing, जीतिए is commonly preferred, but जीतिये is also widely seen and understood. This kind of variation happens with several polite imperative forms.

For a learner, the important point is:

• both are recognized
• जीतिए is a good standard form to learn and use

So if your textbook gives जीतिए, that is perfectly fine.