Parlour also believes Dier should be playing in defence instead of the midfield.
Parlour told TalkSport: “I certainly think he’s a better centre-half.
“I know he’s playing in central midfield and he’s done well there – probably the best game I’ve seen him play was at Stamford Bridge against Chelsea and he was excellent, he was everywhere.
“But I just don’t think he does it on a regular basis.
“I don’t know what he really brings to the midfield, if I’m being honest.
“And I know he has been England captain in a few games, but I don’t think he’s England quality at the moment.”