Well "feel" in professional letters is not so recommended ! It is not grammatically wrong though !
He has to decide upon objective assessment not feelings ( experiencing of emotions and sensations ) ,when hiring someone .( It should be so at least :) )
You better us 'decide' for example among other possible choices.
Because a decision is a resolution in the mind as a result of consideration .
So you hope he considers your application and decides you are suitable as a consequence .