The Scot departed Palace last week to take the managerial post at Bolton, but it has been suggested that he will target a host of his former players.
Wilfried Zaha, regarded as one of the best players in the Championship, has been the name most mentioned, but Freedman has quelled claims of a move for the talented winger.
"Not as we speak right now. We have got a fantastic group of players at Bolton, strength in depth, and I don't need to look anywhere other than my own training ground," he told Sky Sports News.
"I've left Palace with wonderful young players in the team. They've done very well and I believe they should stay at Crystal Palace right now and keep doing what they're doing.
"I feel we've got the right squad of players, and once I go in and change the mentality of the group I believe we can climb the table. I don't feel ashamed or embarrassed to say promotion is something we're looking to do this year."
Bolton currently occupy 18th in the Championship table.