Luke Shaw, Wayne Rooney and Juan Mata could all thrive in the Dutchman's 3-4-3 formation.
The Dutchman's system requires mobile central defenders, versatile wide-men and defensively strong central midfielders, and the Red Devils will undoubtedly need to make some more moves in the transfer market this summer.
Here is how van Gaal's men could line up on the opening day of the season:
Goalkeeper: David de Gea
No surprise here. De Gea was named the club's player of the year for 2013-14 and was a rare bright spot in a miserable season. The Spaniard is an excellent shot-stopper and van Gaal has no plans to replace him.
Defence: Thomas Vermaelen - Mats Hummels - Phil Jones
United desperately need to strengthen at the back after losing Nemanja Vidic and Rio Ferdinand this summer. Hummels is a rock at the back and can be the foundation upon which this team is built.
Vermaelen, meanwhile, has been out of favour at Arsenal and has been linked with a move to Old Trafford. He and Phil Jones are both adept at filling in at full-back as well as centre-half, and they both have the mobility to fit van Gaal's system.
Wide midfield: Luke Shaw - Antonio Valencia
Shaw is tailor-made for van Gaal's 3-4-3. The £27million signing from Southampton is defence-minded enough to fill the winger/wing-back role down the left, and having an extra central defender behind him will allow the 18-year-old to bomb into attacking positions.
Valencia should also thrive down the right with his incredible work-rate and pace. Expect him to rediscover his best form for the club next season.
Central midfield: Ander Herrera - Marouane Fellaini
Herrera was brought to Old Trafford for £29million to be the creative midfielder the club has lacked since Paul Scholes retired. He is versatile enough to play as a playmaker, a box-to-box midfielder or in more of a holding role.
Alongside him will probably be Fellaini, who struggled to find his best position in his first year at the club but could excel as a bruising midfielder under van Gaal. Arturo Vidal and William Carvalho could also be excellent options as do-it-all midfielders if the club decide to splash the cash.
Attack: Wayne Rooney - Robin van Persie - Juan Mata
Up front is where United could really thrive under van Gaal. Van Persie would operate as the out-and-out centre-forward, but Rooney and Mata will be the real winners if the side switch to a 3-4-3. Having wide-midfielders behind them will allow the pair to operate centrally, behind the striker.
The system also allows for great fluidity between the forwards, meaning they could all pop up interchangeably across the front line. Adnan Januzaj and Danny Welbeck would also fit these roles perfectly.