The Germany international goalkeeper has been linked with the likes of Liverpool and Newcastle during this January transfer window following a disappointing first half to the Ligue 1 campaign in which he has only made two appearances because of Alphonse Areola's emergence as boss Unai Emery's first-choice custodian.
However, Trapp is unwilling to give up on his dream of playing regularly for PSG and has no plans to depart the Parc des Princes in this window, despite knowing he needs to be playing on a consistent basis in order to be considered for Germany coach Joachim Low's World Cup squad this summer.
Speaking after playing in Wednesday's 2-0 Coupe de la Ligue quarter-final win against 10-man Amiens, Trapp said: "For now, I want to stay. I am in Paris, even though I do not have enough playing time.
"There are things that cannot be changed. As soon as I play, I want to do my best. I want to show that even with this lack of playing time, I am able to play well. The goal after the season is the World Cup."