The first half saw both teams create scoring opportunities, with Palace's Jean-Philippe Mateta forcing a save from Matz Sels. Forest had a chance to take the lead early on, but Chris Wood's volley was narrowly wide.
The second half saw Palace continue to press for a second goal, but Forest defended well and created their own scoring chances. Will Hughes had a good opportunity to double the lead, but his shot was off-target.
Dan Ndoye's defense-splitting pass led to Hudson-Odoi's goal, and Forest pushed for a late winner, introducing several new players. However, they were unable to find the breakthrough and the match ended in a draw.
The draw extended Palace's winless run in Premier League head-to-head matches to 11 games. Forest, on the other hand, have started their campaign with a draw and a loss, and will look to improve their results in their next matches.