Yes, that's easily enough as long as it's not overclocked. Anything is better than the original cooler ;)

Attention: By default, only Intel LGA 1156, LGA 1155, LGA 1150, LGA 1151, LGA 1200 are supported. I would save myself the trouble of ordering special adapters separately - apparently directly from Noctua - and buy another model that is compatible with AMD.