United enter the quarter-finals of the Champions League widely regarded as the weakest side left in the competition, having endured a torrid Premier League campaign.
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"It's been a very good competition for us so far in my short time here," Moyes told reporters.
"I came into it very inexperienced in the Champions League but we've done well and now we've got the ultimate test in Bayern Munich.
"I think the pressure is equally balanced because we want to win the game as much as they do. We go into the game knowing, on our day, we are as good a side as any.
"We have to show it more often but I have got great belief in the players."
Moyes also stressed the need for United to be cautious in their attempts to secure a first-leg victory to guard against Bayern's formidable attacking power.
"It's an obvious thing to say but it's a two-legged tie and we have to make sure both games are important," he added.
"We’re mindful we want to go to Germany with every opportunity to go through so there’s always a bit of caution in the first leg. But we’d love to go to Germany with a win under our belts because it would set us up nicely.
"Bayern were a very good side last year and won the Champions League. They had a good team and have looked to add to that again this season. They have a new manager and we congratulate them on winning the Bundesliga.
"They are probably the side most people have looked to recently but we have to get a good result to take to Germany and we will try to do that."