The Gladbach midfielder, who is on loan from Bayer Leverkusen until the end of the 2014-15 season, has been heavily linked with Madrid, while Goal understands that Arsenal are also closely monitoring his situation.
The Gunners have sent scouts to regularly watch the 23-year-old, who is contracted to Leverkusen until 2017, ahead of a possible January bid.
However, Kramer's representative, Rene vom Bruch, has made it clear that a transfer abroad is not currently on their minds.
"Christoph is focused on Gladbach and has a contract with Leverkusen from this summer on," Vom Bruch was quoted as saying by Bild .
"Real Madrid? We're not thinking about that at the moment."
Leverkusen director Rudi Voller remains unperturbed by the interest from foreign clubs and has little doubt that Kramer will return to his parent club at the end of the season.
"We are relaxed about all the rumours," he said. "This situation is very clear to us."
Kramer's contract with Leverkusen runs until the summer of 2017.
The holding midfielder has been a key player for Monchengladbach this season, scoring once in 10 Bundesliga appearances, though his bizarre own goal cost his side a point against Borussia Dortmund at the weekend.