Having been sidelined since July, Clyne impressed as Liverpool's second string ran out 4-0 winners over Stoke City in their Premier League 2 clash on Sunday.
Clyne is likely to have more work to do in order to force his way back into Jurgen Klopp's plans for the remainder of the campaign, but Critchley has said that he was delighted with the player's attitude at the weekend.
Critchley told the club's official website: "He has not played for seven months and the plan was to see how long he would go for. He kept putting his thumb up and saying he was okay.
"He obviously wanted to see out the 90 minutes, which was great for him. I thought he was a great example to our players in the way he managed himself during the game."
Clyne's last competitive appearance came against Middlesbrough on May 21.