Oferta mă interesează.

Because a interesa works like to interest in English, not like to be interested in.

So the Romanian structure is:

• oferta = the offer → the thing causing the interest
• mă = me
• interesează = interests

So the sentence is literally:

• The offer interests me.

That is why oferta is the grammatical subject, and mă is the object.

Mă means me.

It is the unstressed direct object pronoun for the 1st person singular.

In this sentence:

• Oferta = the subject
• mă = me, the person affected
• interesează = interests

So:

• Oferta mă interesează = The offer interests me

A fuller, emphatic version could be:

• Oferta pe mine mă interesează = It’s me that the offer interests / The offer interests me, specifically

But in normal speech, just mă is enough.

Because a interesa takes a direct object, not an indirect one.

Compare:

• mă interesează = interests me
• not îmi interesează

Romanian uses:

• mă / te / îl / o / ne / vă / îi / le for direct objects
• îmi / îți / îi / ne / vă / le for indirect objects

Since the offer directly interests someone, Romanian uses the direct object pronoun:

• mă interesează

Because the subject is oferta, which is singular.

The verb agrees with the subject, not with mă.

So:

• Oferta mă interesează = The offer interests me
• Ofertele mă interesează = The offers interest me

Even though mă means me, it does not control the verb form.
The subject oferta does.

Because oferta means the offer, while ofertă means an offer / offer.

Romanian usually puts the definite article at the end of the noun:

• ofertă = an offer
• oferta = the offer

So in this sentence, oferta is definite: a specific offer.

Yes. Both are correct.

• Mă interesează oferta is often the more neutral word order.
• Oferta mă interesează puts more focus on oferta.

Very roughly:

• Mă interesează oferta = I’m interested in the offer / The offer interests me
• Oferta mă interesează = The offer interests me (with extra emphasis on the offer)

Romanian word order is fairly flexible, and changing the order often changes focus rather than basic meaning.

No, not in this sentence.

Even though mă can appear in reflexive constructions, here it is simply the object pronoun me.

A reflexive meaning would require the subject and object to be the same person, which is not the case here:

• oferta = the subject
• mă = me

So this is not I interest myself.
It is simply The offer interests me.

The dictionary form is a interesa = to interest.

Interesează is a present-tense form.

In this sentence it is:

• (ea) interesează = it interests

because oferta is singular and feminine.

Some other present forms are:

• mă interesează = it interests me
• te interesează = it interests you / are you interested in it
• mă interesează ofertele = the offers interest me

Yes. That is also very natural, but it is a slightly different structure.

• Oferta mă interesează = The offer interests me
• Sunt interesat de ofertă = I am interested in the offer

The meaning is very close, but the grammar is different:

• Oferta mă interesează focuses on the offer as the thing creating interest.
• Sunt interesat de ofertă describes your state of being interested.

Both are common.

Approximately:

• oh-FER-ta muh in-te-re-SEA-zuh

A few notes:

• ă is a short central vowel, similar to the a in English sofa
• ză at the end sounds roughly like zuh
• stress is roughly on:
  • oFERta
  • intereSEAză

So the rhythm is approximately:

• o-FER-ta mă in-te-re-SEA-ză