[fə.zɔ̃] is the usual pronunciation in France. Faire has a highly irregular pronunciation. The letters ai are pronounced /ə/ in:
- the nous form of the present indicative.
- all the forms in the imperfect indicative.
In this other answer @Gilles explains that this strange pronunciation might have its origin in the fact that in the 17th century, the people in Paris wrongly pronounced the present participle [fə.zɑ̃] and this pronunciation spread to those other forms, and outside Paris.
I gather in France the vast majority of people will pronounce [fə] and not [fœ]. I could not say about other French speaking countries.