The Red Devils were held to a 1-1 draw by Wolverhampton Wanderers but they missed the chance to take all three points when Paul Pogba missed a 68th minute penalty.
There was some confusion as to who would take the spot-kick with Marcus Rashford, who scored from the spot in the 4-0 opening day win over Chelsea, passing on the duty to Pogba this time round.
Pogba saw his effort superbly saved by Rui Patricio meaning the French World Cup winning midfielder has now missed four of his last 11 penalties in the Premier League.
Speaking on Sky Sports, Gary Neville, who won eight Premier League titles at the club, feels a designated penalty taker should be nominated by Ole Gunnar Solskjaer.
"There was a debate between Martial, James, Rashford and Pogba," he said after the 1-1 draw. "It was more like: 'Go on mate you have it'.
"This is not right, by the way. Look, here comes Paul Pogba, now Lingard is getting involved. Is Pogba the penalty taker and Rashford has taken it off him?
"I'm holding back on Pogba because he may be the penalty taker here. It isn't right. They should decide before they play. This is not right.
"This is a Manchester United penalty. This is not a tombola. This is not under-fives football on the playground. Rashford throws the ball to Pogba. Something is not right.
"Why is there a debate on who takes a penalty? Pogba has missed four in the last 12 months – so you would think he's had his chance now. Rashford scored last week, take the penalty.
"But there wasn't a leader on the pitch."
