The Colombia international joined the Red Devils in a big-money loan move until the end of the season, but has largely failed to live up to expectations.
United do have the option to make the move permanent, but there are doubts whether they would press ahead with such a deal.
Vazilyev, though, will not be concerned if the Premier League club sends Falcao back as there is already said to be significant interest in the 29-year-old.
“It will be a very important element [in Monaco’s summer transfer business], but I am not worried about him,” he told L’Equipe.
“We have received interest from other big clubs, as we await Manchester United’s decision.
“If we still had him we would be challenging at the top of the table. He started the season well and we are missing some efficiency upfront.
“But hey, that’s the way it goes. I am not worried for him or for us.
“For fair-play obviously, the less we spend, the better. It is important not to have big salaries.”