Despite a lack of Champions League play next season, Moyes says several players are "very keen to join such a great club."
Moyes denied his job was on the line after the Red Devils were knocked out the Champions League by Bayern Munich, and suggested that he already knows that players will want to join the club even without top-level European football.
"My focus is to get a side which gets us back into the Champions League and that's the objective," he told Sky Sports.
"The club have never had any problem [about the Champions League], they've always been looking to spend the right money on the right players if they are available, it had nothing to do with Champions League football, and any players we've quietly discussed with are more than happy to join Manchester United.
"As I say, I think there are ones who have quietly... somebody might have had a quiet word in their ear, they've all been keen to come because here it'll be a short thing, not a long thing, and they're all very keen to join such a great club."
United took the lead at the Allianz Arena on Wednesday night through a Patrice Evra thunderbolt, but conceded just 22 seconds later and eventually lost the match 3-1, and 4-2 on aggregate.
With the club currently seventh in the table it looks as though it will not qualify for the Champions League next season, but Moyes is confident that he can rebuild his squad and make a comeback in 2015-16.
"We've not got Champions League football, that's the way it looks," he added. "I believe that it's not far away, hopefully it'll be one year where we go to rebuild.
"Our focus now is getting a team which can make sure we are back in this competition, because it's a great competition, we've really enjoyed it, there's no shame in going out in the quarterfinals to Bayern Munich, because they are a good side.
"The players have played really well, it shows the quality of the players we've got. We'll regroup and we'll start building towards being in the competition again."