Carrick is still working in the role on an interim basis, having taken the job in January following the sacking of Ruben Amorim.
The former United and England midfielder has since guided the the Red Devils to seven wins and just one defeat in 10 matches, sitting third in the Premier League standings.
United now require four wins and a draw from their remaining seven matches to guarantee a return to the UEFA Champions League next season.
The Manchester United board have insisted that they will wait until the end of the season to make a final decision about the permanent head coaching position.
"From a personal view he's the right man," Diallo said from United's training camp in Ireland. "He has a lot of experience; he knows the club and has the DNA.
"His relationship with every player is very good. Sometimes this kind of manager can bring the club where they belong.
"It's not the players who decide but my honest opinion is we're really happy to have Michael Carrick as a manager."
United are preparing for their Premier League clash against Leeds at Old Trafford on Monday.
Manchester United playmaker Bruno Fernandes expressed his gratitude after winning his sixth Premier League Player of the Month award, after impressive performances in March.
Lisandro Martinez has returned to full training with Manchester United's first team in Dublin, marking a key step in his recovery from injury.
Harry Maguire has committed his future to Manchester United, signing a new contract that will keep him at the club until June 2027, with the option for an extra year.
Manchester United have made it clear they want captain Bruno Fernandes to stay at Old Trafford, despite mounting interest from across Europe and the Middle East.
