despite what was just said or what happened
It was raining, but we went anyway.
I don't agree, but I'll help you anyway.
Anyway is one word. Any way means “any method”: You can do it any way you like.
Common phrases & grammar
go anyway · do it anyway · help anyway
[subject] + [verb] + anyway
Even though + [subject] + [verb], [subject] + [verb] + anyway