Clyne was a free agent after leaving Liverpool and has been training with Palace in recent weeks. The right-back made 137 appearances for the Eagles between 2008 and 2012.
Liverpool played their first game after the announcement of the European Super League, and failed to win against Leeds
He said: “He senses where the space is and how to use it. I wouldn’t necessarily say he’s a dribbler with skills and tricks but he’s dynamic. How he plays, he is unique in some ways.