The Liga side's manager believes his squad's form has improved markedly since their 1-0 defeat at Old Trafford and is confident of pulling off an upset
La Real sit rooted to the bottom of Group A with zero points from three games and face a huge challenge in making it out ahead of current leaders United, second-placed Bayer Leverkusen and Shakhtar Donetsk just above them.
Despite the three-time European champions' status as favourites, Arrasate insists that he has faith that his team - which finished fourth in La Liga under former trainer Philippe Montanier last season - can defeat the Red Devils at Anoeta.
"We haven’t thought about the change in schedule, we just learned about it," he told reporters on Monday.
"What we are thinking about is that we have a very important game and that if we do things the right way, we can beat Manchester United.
"We don’t have an inferiority complex. We want to do a good job and we are aiming to do that, and if we can, I believe we can win."
Real Sociedad have scored 10 goals in their last three Spanish top flight matches en route to two wins and a draw since they were beaten 1-0 by United on October 23, and the club's coach is confident that the gap in quality has decreased since that result.
"We've been playing better in La Liga and maybe we have reduced the difference between the two teams," Arrasate added.
"I think we can play better than we did at Old Trafford. We'll try to be very tight in defence, not concede many chances and then put our chances away. They are very good on the break, they showed that at Old Trafford.
"We're doing much better, we've got two very good results, got two good victories at home and kept two clean sheets. We’re getting used to playing during the week and we’re going to try to win the game."