Former captain Page has guided Wales to the playoffs in the continued absence of manager Ryan Giggs, who has been on leave from his post for 12 months.
Giggs will go to trial in January, accused of deliberately butt-butting his ex-girlfriend and controlling her throughout their relationship. The former Manchester United and Wales star denies all the allegations.
Page was closely linked to Cardiff’s work before the Bluebirds announced on Friday that interim manager Steve Morison would remain in charge for the remainder of the season.
On Cardiff’s interest, Page – who lead Wales to their last two World Cup qualifiers against Belarus and Belgium this week – said: “I have the best job in the world. That’s all I have to say about it. I work with wonderful players and I am completely focused on these two games.
“I take every game as it comes. I have been told that I am responsible and, until someone tells me otherwise, I will be fully engaged in this work. I absolutely love it. That’s all I can say on the subject.
Spain’s 1-0 victory in Greece on Thursday confirmed Wales’ place in the play-offs thanks to their Nations League results.
This is only the second time Wales have reached a World Cup play-off, having beaten Israel 4-0 on aggregate to reach the 1958 finals in Sweden.
“It feels good and takes the pressure off a bit,” Page said. “It’s great for the fans to know that we have a play-off.
“For the moment, we have two games left and an opportunity to give us a more favorable tie in the play-off.
“Our goal is on that. We want to finish second and win both games. We want to build that momentum and continue it in March. “