"Eu nunca vou esquecer você."

Translation: I will never forget you.

[EliseTickner]

I won't ever forget you should be accepted, too.

[emeyr]

I thought that the reflexive "esquecer" required the preposition "de" - "vou me esquecer de você"

[convidado]

esquecer requieres de in the presente, like gostar de or precisar de.
vou esquecer is another form.

[oddrytee]

Me too - can someone weigh in?

[clovis10alberto]

Apenas se vier antecedido de pronomes como (ME, TE, SE, NOS, VOS)
Dois exemplos básicos.

Eu nunca ME esqueço DE você

Eu nunca esqueço você

[NormanPhaal]

Surely "I SHALL never forget you" is correct!

[BrooklynNellie]

"Shall" is becoming rarer and rarer in English. It's hanging out with "whom".

[emeyr]

As used in the above sentence, yes. It is still used, however, to make suggestions/offers in the first person - singular and plural.

Shall we go now? /// Shall I open the window?

[jxewel]

I never will forget you is also correct

[emeyr]

A native speaker of English would say : "I will never forget you."

[Aliannbur]

I am a native speaker of English and I sometimes say, I never will forget you, with emphasis on never. One doesn't have occasion to say this very often.

[emeyr]

I would put the extra emphasis on "never" in its usual place between the auxiliary verb and the main verb...but there are regionalisms, I guess.