From the Super Mario Wiki
Calm Amazing Flyin' Hammer Brother (or C.A.F.H. Bro. for short) is an enemy found on Vibe Island in Super Princess Peach.
The Calm Amazing Flyin' Hammer Bro. is almost exactly like an Amazing Flyin' Hammer Bro., except this one is usually found asleep. Princess Peach will have to walk very slowly in order to keep it from waking up. Once woken up, it acts like a normal A.F.H. Bro.
According to the Glossary in the game, one should "Attack this sleeping enemy without getting close."
Names in other languages
||Frère Marto Volant endormi
||Sleeping Flying Hammer Bro