Spurs have hired Igor Tudor to the end of the season after sacking Thomas Frank last week.
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For Van der Vaart, Burnley manager Scott Parker would be the ideal long-term option to take charge at Tottenham. He told Sky Bet: "Mauricio Pochettino was fantastic at Tottenham but I’m not truly a fan of bringing old managers back.
"As a player I was always a fan of Scott Parker. As a coach, I believe in him and I think that he would be a perfect fit for Spurs.
"A lot of people will laugh at me saying this, but I know Scott and I know that the players would love him, run extra for him and train like hell. Scott Parker would be a perfect fit, but it is a risk.
"Any manager you bring in now will be a risk."