Sanchez and Ibrahimovic have both been shortlisted for the PFA Player of the Year award, but fail to make the cut with Romelu Lukaku and Harry Kane picked up front, while Eden Hazard and Sadio Mane also feature in an attacking line-up.
United goalkeeper David De Gea features for the fourth time, while Danny Rose is at left back for the second straight season.
Rose's Tottenham team-mate Kyle Walker is in at right back, with Chelsea duo Gary Cahill and David Luiz forming the centre-back partnership.
Ahead of them is Chelsea midfielder N'Golo Kante – favourite to pick up the various Player of the Year awards – with Tottenham's Dele Alli alongside him.
The fourth Chelsea player to make the team is Eden Hazard, while Sadio Mane is Liverpool's sole representative.
In attack, the league's top goalscorer Lukaku is placed alongside Harry Kane, who is included for the third consecutive season.
PFA PREMIER LEAGUE TEAM OF THE YEAR
David De Gea (Man Utd), Kyle Walker (Tottenham), Gary Cahill (Chelsea), David Luiz (Chelsea), Danny Rose (Tottenham), Eden Hazard (Chelsea), N'Golo Kante (Chelsea), Dele Alli (Tottenham), Sadio Mane (Liverpool), Romelu Lukaku (Everton), Harry Kane (Tottenham)
REPRESENTATION BY TEAM
Man Utd: 1
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Do you agree with the XI? If not, who is missing out? Let us know below...
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Michael Hincks - Follow on Twitter