Collins Russian Dictionary 2nd Edition © HarperCollins Publishers 2000, 1997:
approve [əˈpruːv] vt (motion, decision) одобря́ть (одо́брить perf) (publication, product) утвержда́ть (утверди́ть*perf)
approve of vt fus одобря́ть (одо́брить perf)
* is used to mark translations which have irregular inflections. The Russian-English side of the dictionary gives inflectional information.