Moyes succeeded Sam Allardyce as Sunderland boss earlier this month.
The Black Cats moved quickly to secure the services of the former Everton and Manchester United manager after Allardyce was given the England job.
Watmore is quoted in the Chronicle, saying: “The club have made a really good appointment and we are all looking forward to impressing him and getting some wins when the season gets going.
“He has really impressed us all since he came in and while obviously it has only been a couple of days, we are already getting new ideas of how he wants us to play."
Sunderland have certainly appointed a manager with a great degree of experience in the Premier League, with many drawing parallels with when he joined Everton.
Over an 11-year spell he managed to turn them into a side that regularly competed for European places; a far cry from looking over their shoulders and worrying about their status in the top flight.
Subsequent spells at Manchester United and Real Sociedad did not work out for different reasons, but there is no doubt that Moyes will have learned things the hard way at both clubs.
But for Sunderland's ambition of ensuring they stay in the top flight - and hope for several years of stability - the appointment makes sense for many players, and Moyes does have a track record of bringing one or two through the ranks and giving them a chance to flourish in the first-team.
After his breakthrough season last term, Watmore could be in line for a few more opportunities.