Pearce has been appointed as an assistant to manager David Moyes at West Ham.
The 55-year-old former England international defender played for the Hammers from 1999 until 2001.
The former Newcastle United defender has also managed Manchester City and Nottingham Forest.
Former Palace chairman Jordan has praised Pearce on Twitter.
Pearce is a good coach and a good manager, and him being in Moyes’s coaching set-up can only be a positive going forward.
The presence of Pearce in the coaching set-up is going to help the team defend better and improve at the back as the season progresses.
West Ham will return to action on Sunday when they take on Watford away from home at Vicarage Road in the Premier League.