The highly-rated Toffees ace played the full 90 minutes at Wembley on Tuesday night as the Three Lions lost 2-1 at home to the Netherlands in a friendly.
The 22-year-old has emerged as one of the most exciting young English talents in recent years, but Hazard, who spent a total of nine years at White Hart Lane, feels that Barkley could do with upping the tempo in his passing before moving to the next level.
Ross Barclay a super super talent but needs to play Quicker, just slows it down too much at the wrong times— Micky Hazard (@1MickyHazard) March 29, 2016
At club level, there can be little complaint over Barkley, who has netted 12 times and bagged 10 assists in all competitions for the Merseyside outift this season.
He has not provided any of either on the Premier League stage in coming up on two months, though he has been a driving force in the FA Cup and that, for manager Robert Martinez, is more important right now.
The Toffees have nothing to play for in the league, but an FA Cup semi-final with West Ham United or Manchester United awaits them next month, and Martinez will need Barkley at his scintillating best when he returns to Wembley.