The England international has admitted that he is not concerned by the Dutch manager’s comments.
The England international was allowed to leave his boyhood club when the Dutch manager was appointed at Old Trafford, with a move to North London raising some eyebrows.
Welbeck was clearly seen as surplus to requirements, with the Red Devils bringing Radamel Falcao to the club in his place.
Despite Van Gaal’s comments, the 24-year-old has stated that he has thick skin and isn’t fazed by criticism.
"Everyone is entitled to their opinion - some you like, some you don't," Welbeck is quoted as saying by The BBC.
"It's football, it's life. You deal with it.
"You've got to be strong mentally living the life of being a professional footballer - there's a lot of people out to get you.
"Everyone is watching. You just have to be switched on all the time."
Welbeck has mostly been used by Arsene Wenger in a wide role and has only netted four Premier League goals since joining the Emirates Stadium side.
However, the former United man still feels that he is finding his feet with his new employers.
“It's a transitional year for me and getting to know new players, team-mates, systems, new ways of going about things," Welbeck continued.
"I think I've put in a few good performances and been a bit unlucky on the goals front, which is something I know will come in abundance once I come to know everything spot on with the club."
Welbeck scored the winning goal for the Gunners in a 2-1 victory over United in the FA Cup at Old Trafford earlier this season.
The forward is in line to feature for the Gunners against Reading in the FA Cup this weekend.