'Red Devils' boss Jose Mourinho said Pogba put in a "monster performance" as the Frenchman led them to a 2-1 victory.
With reports of arguments behind the scenes between Mourinho and Pogba, Higginbotham thinks it is essential that United keep hold of the midfielder and build their team around him.
Speaking to 'Sky Sports', Higginbotham said: "It's about Paul Pogba again. Everyone is talking about him. I think he is a phenomenal player.
"It's about giving him a licence to get forward, to go and create, to go and join in as well because he is such an important player for them.
"One hundred per cent I would be building the team around him. I think it was a very good idea to give him the captaincy last week against Leicester and I really think he took that in his stride.
"He is a player that has everything. I would like to see him more in the attacking sense and having that insurance behind him.
"Pogba creates problems for the opposition's defence. He makes sure an opposition back four or back three gets disjointed by his runs from midfield.
"The more that he can do that this season the more joy he will have personally and I think the more joy Manchester United will have on the goal scoring front."