Alexis is widely expected to complete a switch from Arsenal in the current transfer window, with Henrikh Mkhitaryan set to move the other way.
United muscled out rivals Man City to take pole position in the race for the Chilean, until their neighbours eventually called off their pursuit.
And speaking to Goal, Meulensteen said he is convinced Alexis can do great things at Old Trafford.
"If they have managed to come to terms, I think it is a really good move for Manchester United," the coach, who was sacked as manager of Indian side Kerala Blasters earlier this month, explained.
"And it is a really good move for Alexis Sanchez. Because he is in the mould, he is the type of player that Manchester United fans would like to see - high energy, high work rate, he creates, he scores goals.
"He is an exciting player to watch. If it happens, it will be good for both parties."
Mkhitaryan, meanwhile, looks likely to draw the curtain on his United career after 18 months at the club, in which he has endured mixed fortunes.
"It is business. That is sometimes how people at clubs, how they come to some sort of situation with a deal," Meulensteen added.
"I think Mourinho made it very clear that he wants to work with a 22-man squad. So they have probably come up with an idea that they are prepared to let Mkhitarayan go and make it part of the deal with Sanchez.
"It all comes down to whether the individual wants to cooperate or not. Mkhitaryan has two years left on his contract. Alexis Sanchez, as far as I understand, agreed to terms with Manchester United.
"There will still be discussions about this. We have got plenty of time before the window shuts, so I think they will come to a sort of a solution."