The meeting took place in London at Stamford Bridge stadium and ended with a score of 3: 0.
The hosts featured Marcos Alonso (27 '), Christian Pulisic (40') and Trevo Chaloba (58 ').
Chelsea finished fourth in the Premier League last season but won the Champions League.
Crystal Palace took 14th place.
Earlier it was reported that a hat-trick of Bruno Fernandes helped Manchester United defeat Leeds in the first round of the Premier League.