Cerco is the first-person singular present indicative of cercare.
So:
In Italian, the simple present often covers both:
So cerco is perfectly natural here.
Because azienda is a feminine singular noun that begins with a vowel, so una becomes un’ before it.
So:
That apostrophe shows elision: the final vowel of una drops before another vowel.
Important:
Azienda usually means company, business, firm, or enterprise.
It is often used for a business organization rather than a physical store. So depending on context, it may sound more like:
If you specifically mean a shop/store, Italian often uses negozio instead.
Related words:
In città is a very common idiomatic expression meaning in town or in the city in a general sense.
Italian often leaves out the article in set location expressions like this:
Nella città is possible, but it usually sounds more specific, as if you mean in the city itself, often in contrast with somewhere else.
So:
Yes. That would also be correct.
Difference:
Italian uses the simple present more often than English does, so cerco is often enough even when English would say I’m looking for.
By default, most people will understand in città as describing the company: you are looking for a company located in the city.
But technically, context can make it a little flexible.
Possible readings:
If you want to make the location of the company clearer, you could say:
If you want to emphasize where the searching happens, you could say:
Yes. Cerco un’azienda in città is normal, neutral Italian word order.
Basic structure:
Italian word order is often flexible, but this version is the most straightforward and natural in ordinary speech. Other orders are possible, but they usually add emphasis or sound more marked.