Pochettino's Tottenham Hotspur side were knocked out of the Champions League on Wednesday.
Tottenham lost their Champions League second round tie 2-1 at Wembley, despite being in control for large periods.
Son Heung-min gave the hosts a half-time lead but quickfire finishes from Gonzalo Higuain and Paulo Dybala turned the tie on its head.
The result leaves the FA Cup as Spurs' only realistic hope of winning a trophy this season, and some of the club's followers have called for Pochettino to leave if he cannot deliver silverware at the fourth time of asking.
Roberts, however, has clear message for anyone sharing that belief, posting on Twitter...
I’m listening to the radio on way out in car and some of these so called spurs fans who say they support our great club mentioning that poch should leave if we don’t win the game cup are mad .Go back to before he came and maybe you rather have that again.Get behind the team COYS— Graham Roberts (@GrahamRoberts4) March 8, 2018
Tottenham travel to Swansea City in the FA Cup quarter-finals next weekend, but could face top-four rivals Manchester United and Chelsea should they progress.
The Blues knocked Spurs out of last season's competition at the semi-final stage, but lost 2-0 in the final against Arsenal.
Is winning the FA Cup now imperative for Pochettino?