Clyne joined Palace on a free transfer over the summer after leaving Liverpool following three years of injury hell at Anfield.
The 29-year-old was signed as cover at right-back but, with Joel Ward and Nathan Ferguson both out injured, he has started each of Palace’s last three games and is set to continue in the team when the Eagles face Burnley on Monday night knowing that a win would take them up to seventh in the Premier League.
Clyne, who was given his England debut by Hodgson in 2014 and earned all but one of his 14 international caps under him, said: “It is good to be given the opportunity to play again, which I am thankful for.
“I know the manager from the England days. It is good to be back working with him, I know his style of play and what he wants from the players. It is a familiarity I am used to and I am enjoying it. I am looking forward to keeping on playing and keeping on improving.
“He knows what I am about, he knows my playing style and he knows what he can get out of me. I am familiar with how he wants players to perform under him, so that definitely helps.
“We can take the confidence from the last game against Leeds, use that and hopefully get three points from Burnley as well.”