For a current position, present tense would be reasonable. But using present tense for past positions will seem odd to most native speakers.

I would not look favorably on a native English speaker who described past work in the present tense.  I'm more forgiving when English is not the candidate's mother tongue.  

The best candidates will have their resume reviewed by someone fluent in English.  At least I would, if I were writing a resume in a language other than English.