Van Marwijk stood down as coach last week after the Oranje slunk home from Euro 2012 in Poland and Ukraine without a single point, despite having been tipped by some to be title contenders.
Van Basten was Holland coach between 2004 and 2008, guiding them to the last 16 of the 2006 World Cup and the quarter-finals of the European Championship two years later, where they lost to Russia, who were led by fellow Dutchman Guus Hiddink.
The 47-year-old then spent a season as Ajax boss before resigning after failing to take them into the Champions League.
Earlier this year it was announced he would return to the game by succeeding Ron Jans as coach of Eredivisie side Heerenveen this summer.
Having just started work with Heerenveen, who finished fifth last season, the former AC Milan forward has no interest in the position of national team coach.
He told AD Sportwereld: "I am now in Heerenveen and I am very satisfied.
"Who should it be? Also I have not thought about that.
"I have my thing here in Heerenveen. For the rest I will not interfere anymore. "
adidas has added some color to the Predator line with this new colorway. Released on May 17. Be the first to own a pair.
The adidas Nitrocharge is the most talked about new cleat in years. It was released on May 15 and will take your pitch by storm.
The new PUMA evoSPEED 1.2 FG. A great new soccer cleat with classic look and first time for PUMA to be on the cleat.
One of the top soccer cleats for control the Nike CTR360 will not let you down on the field in tight spaces.
Borussia Dortmund hears Wembley Calling and are headed to London for the Champions League final.
The Juventus jersey for the 2013/14 was released earlier this week. Be the first to wear the colors of the Old Lady.
The push for more color on their cleats, adidas has added the infrared colorway to the adiZero f50 Line.
The Liverpool 2013/14 soccer jersey is available for pre-order. The Reds are eager to compete for silver next season.
Bayern Munich are kings of Germany and hope to be crowned kings of Europe at Wembley later this month!
Ajax has released their away soccer jersey for the 2013/14 season. Get in the Gear.