Virgil van Dijk and Steven Mouyokolo were Neil Lennon's first choice centre-backs for the midweek Champions League clash with Shakhter Karagandy, which resulted in a 2-0 defeat, prompting some negativity from Hoops fans.
Wilson, who has returned to Nottingham Forest for family reasons, is familiar with starting life as a Celtic player and is confident that both van Dijk and Mouyokolo can rise above and become regular contributors sooner than later.
"I received a lot of stick in my first year at the club. You can't let it get to you. It's about having mental strength and self-belief to make sure you are successful," he told the Daily Record.
"I found that out pretty quickly when I played in Scotland and I'm sure it will be the same for Steven and Virgil.
"I think it is harsh to blame them for what happened on Tuesday. I trained and played with them before I left the club and know they have the ability and mental capacity to cope and be successful.
"They just need time because only a few people move to new clubs - particularly when it is a new country and league - and hit the ground running.
"It takes time to settle, to familiarise yourself with your new team-mates and the coaching staff. Johan Mjallby will work closely with them and he is very capable so I know they will be absolutely fine."