So Arsene Wenger equally must not ignore the fate of Leeds United in the last round at Sutton.
Sutton will be the next opponents for Arsenal when they travel to the non-league club for the fifth round of the Emirates FA Cup on Monday night, and while Doswell feels Wenger is being unfairly criticised, he does not feel sorry for the 67-year-old.
The one-time sponsorship will see the Sun Bets logo printed on the front of Sutton United match day shirts for the FA Cup tie which will be televised live on BBC 1 (20 February - 7:45 pm). "I don't feel sorry for them at all because they are in the mad world that is football".
"I thought for the first 47 minutes they [Arsenal] looked like, if not the better team, certainly on a par with Bayern", Doswell said.
Asked by Standard Sport whether Wenger needed to play his strongest side for a decisive match in Arsenal's season Doswell added: "If he plays the team who beat Southampton 5-0 [in the fourth round] - and I'm a massive Southampton fan - then that would hammer us".
"It is not a disgrace. The result we had at Bayern Munich will not influence my selection".
But Doswell did not offer an optimistic assessment of Sutton's chances of a giant killing, claiming that the non-League side's only hope of victory was if Gunners boss Arsene Wenger took them for granted and named a weakened side.
"Wenger is getting criticised - and I think wrongly - that he doesn't have enough leaders in the dressing room, but he has still managed to qualify for the Champions League for the last 15 years", he said.
The Whites are going great this year, sitting in the Championship play-off places for the first time in years, and were handed a major shock when Sutton dumped them out of the cup.
"The fixture gives us the ideal platform to promote the Sun Bets brand through both TV and on-site activation", he said.
Four of the Sutton squad are ex-Arsenal, however, including defender Craig Eastmond who played alongside Theo Walcott, Cesc Fabregas and Denilson in a 2010 FA Cup tie against Stoke City.
"If we did do it, it would be a Buster Douglas-Mike Tyson moment, a Luxembourg beating England nearly".