Pleat was current Forest boss Colin Calderwood's manager at Tottenham.
Calderwood said: "David and I don't have to forge a relationship because I played for him and worked with him at Tottenham.
"He won't be in and around the club every day but we will be in contact over the phone once, twice or three times a week.
"He has a good understanding of the game, I've got a good understanding of what his strengths are and we have a relationship which will be healthy and prosperous for the club as a whole."