The Gunners will welcome the Midlands outfit in the FA Cup fourth round and Spanish defender Miquel is wary of the threats posed by Alex McLeish's charges.
"We know that with the FA Cup it is only one game, so you can't make any mistakes. You have to make sure you are ready for anything that happens, but still go out there and try to win the game," Miquel told www.arsenal.com.
"We played Villa a month ago [in the league] and only scored the winner in the 87th minute, so it will be tough.
"We are at home, we have our supporters there, but we know we will have to work for victory.
"Aston Villa are dangerous and they can make things happen.
"We need to stay focused and make sure we don't make any mistakes at the back. If we do that then we have a big chance to win."
Barcelona-born Miquel has come up through the youth ranks at Arsenal, captaining the reserves before being handed his first-team debut in last season's FA Cup fifth-round tie at Leyton Orient.
The young Spaniard, who has been asked to operate as a make-shift left-back, is hoping an extended cup run can fulfil a lifelong ambition.
"It is a dream to play at Wembley in a big final. First, we have to go step by step, but obviously if we can get to Wembley it would be a big, big thing for us," Miquel added.
"We have not won a title for quite long, so it would be great for us - but our next game is on Sunday against Aston Villa and we must focus on that.
"If we keep working and stay mentally strong we can get through it."
Much has been made of the fall-out from Arsenal's 2-1 home defeat by United, which left them five points behind Chelsea.
Gunners boss Arsene Wenger was jeered by some fans for his substitution of livewire Alex Oxlade-Chamberlain for Andrey Arshavin.
Captain Robin van Persie was quick to play down suggestions he had questioned the manager's judgment by an apparent negative reaction to the switch, which was made because Oxlade-Chamberlain - who set up the Dutchman's equaliser - had been hampered by a calf problem.
Van Persie went as far as to post a statement on Facebook, in which he issued a rally call.
"There are plenty of games still left, we have recovered from reverses like this before and we will win again, so anybody writing us off is making a mistake," he said.
"This could still be a good season for us. We have the FA Cup to look forward to and the Champions League.
"We will all be giving 100% to make sure we bring one of those trophies home, hopefully both of them.
"Let's all stick together and fight."
Wenger, meanwhile, is reported to have addressed the squad to reaffirm his believe they can achieve success.
On-loan New York Red Bulls forward Thierry Henry, whose goal beat Leeds in the third round, missed the United game with a calf injury, as did midfielder Mikel Arteta.
However, there was positive news on the recovery of full-back Bacary Sagna, who today resumed full training with the rest of the squad for the first time since suffering a fractured right fibula during the defeat at Tottenham on October 2.