Goal revealed that the Gunners have been scouting the World Cup winner as they look for midfield reinforcements, while Tottenham and Real Madrid have also been linked with the 23-year-old.
And though his agent insisted that he is not thinking about any possible transfers at present, the player himself feels a move away from Bundesliga would help him develop his game.
Speaking to Hamburger Abendblatt, he said: "That [moving abroad] has always interested me. I would not be afraid.
"I want to find out what my limit is and I always strive for the very best."
On an article linking him with Real Madrid, he added: "I wish I had cut out and hung that article on my wall. To be linked with Real Madrid is an enormous honour for me."
Kramer is currently in the second season of a two-year loan deal with Gladbach from Bayer Leverkusen, with his impressive showings gaining him a number of admirers.
And the Germany international would be receptive to a return to his parent club should a move away not come to fruition.
"Of course [going back to Leverkusen] is an option for me, they have a good coach in Roger Schmidt and they play an attractive style of football which would also suit me."