Morgan's disciplinary record has let him down this season - the centre-back has received two yellow cards during the 4-2 defeat at Bournemouth in September, and was also dismissed against Everton in the match before the international break - again for picking up a pair of cautions.
"When we look at the video, some yellow cards are not," Puel told 'Sky Sports News'.
"He's been unlucky with the decision last time and, the game against Bournemouth, the second yellow card was not a foul.
"But he needs to manage the situation better. Fans can have their opinion, but I have a lot of respect for Wes.
"He keeps a good level in his performance, and the training sessions. I respect all of our centre backs, because we have different possibilities."
One Leicester defender who has enjoyed a great season so far is full-back Ben Chilwell, who started alongside club team-mate Harry Maguire when England beat Spain 3-2 on Monday night.
"Of course, it's a good memory for Ben Chilwell and Harry Maguire," said Puel. "Winning away against Spain is fantastic. I am happy for both of them."
Another Leicester play involved with the international break, Ben Chilwell, impressed.
"He can compete with these players because he has been consistent since last season, he finished very well and started this season very well," said Puel.
"For a young player to find consistency in his play and good performance all the time is difficult. He can defend well, attack well.
"He is the complete player and a valuable player for us.
"He can become a valuable player for the national team and can compete with the other players. For a player at 21, his consistency is impressive."