Ten Hag has been linked with Premier League giants United, who are eyeing a long-term manager following the interim appointment of Ralf Rangnick until the end of the season.
Ajax's Ten Hag has impressed in his time in Amsterdam, where the 51-year-old has delivered two Eredivisie titles and embarked on a memorable run to the 2018-19 Champions League semi-finals.
Ten Hag's men have been the entertainers of Europe this term, dazzling their way into the Champions League round of 16, while topping the Eredivisie ahead of rivals PSV by a point.
"I think I'm ready for it [coaching abroad]. I would be happy to take up that challenge," Ten Hag told De Volkskrant, with Ajax managing to score 48 goals while only conceding twice in the league this term.
"But I'm not chasing it. If it turns out that that step will never come, I will not say that my coaching career has failed.
"But I think I have sufficient competencies to take on that challenge."
The Rangnick era, albeit on an interim basis, started with a 1-0 win for United at home to Crystal Palace on Monday.
Rangnick became the sixth German to manage in the Premier League and the first German to win his first game in charge in the competition (Felix Magath, Jurgen Klopp, Jan Siewert, Daniel Farke and Thomas Tuchel all failing to do so before him).
Following the victory against Palace, six of the last seven managers (including caretakers) have won their first game in charge of United in all competitions, with Louis van Gaal being the only exception during this period (a 2-1 loss to Swansea City at Old Trafford in August 2014).