However, the Hoops failed to qualify for the group stage of the Champions League and could get as far as the last-32 stage of the Europa League.
Celtic are on course to winning the Premiership title this campaign, but they have been knocked out of Europe altogether.
Having initially failed to qualify for the group stage of the Champions League, the Glasgow outfit have been unable to book their place in the knockout rounds of the Europa League.
Former Celtic striker Brattbakk believes that Deila should be given another chance to prove that he is capable of bringing the club European success.
“The big question that he has to ask himself, though, is whether he believes he can take this Celtic team into the UEFA Champions League group stages next summer because that is what he will be judged on,” the former Noway international told The Glasgow Evening Times. “But to my mind, it is right to give him that chance."
Celtic will take on Fenerbahce in Istanbul in the Europa League Group A on Thursday evening before facing St Johnstone away from home in the Scottish Premiership on Sunday afternoon.