Tudor has stepped in after the dismissal of Thomas Frank, signing to the end of this season.
And ahead of Tudor's debut today against Arsenal, Lange told Sky Sports: "We interviewed a few (interim) candidates. Igor impressed us very, very much in the interview.
"If you come in here on the Monday and you are playing at the weekend, you need to build relationships with the players immediately.
"You need to come in to build relationships but of course assess the style of the club immediately. He has shown that with great success, not only once but a few times, to come into that.
"That is one of the reasons why we believe he is the best candidate here now but of course also with his reputation and what he's done in his career. Of course if things go well, he could be here for a long time."