Fink was relieved of his duties as Hamburg coach earlier this month and he has recently been suggested as a successor to Hitzfeld, who has announced his intention to step down after next summer's World Cup.
However, Fink expects to have found a new job before then, saying he is ready to return.
"Nobody has approached me about the Switzerland job and I've not heard anything either," he said.
"But I'm not interested in that. I see myself more as a club coach.
"I want to get going again from January. I'm fit and not burnt out, but until then, I will relax just a little bit more."
Fink is free to find himself a new job since his contract with Hamburg was terminated following his dismissal.
"All I can say is that compromises were made on both sides," Fink added in the Bild newspaper, referring to the termination of a contract which was due to run until 2014.
"Unfortunately, I didn't have any money (as coach), but I worked well and who knows what would have come from it.
"It's a shame that I was not given the necessary time."