I wanted to ask you that can we offer namaz by wearing deodorant ?

Yes, as long as it's worn before wudhu/Guhsl; e.g.. I'm guessing you wear deodorant in the morning so you're good to go.

Please open the link below you may find your answer, Thanks.

Can we use deodorants that contain alcohol when we are on wudu and then worship? | Questions on Islam (http://www.questionsonislam.com/question/can-we-use-deodorants-contain-alcohol-when-we-are-wudu-and-then-worship)