The German is being considered by the Bayer board amid growing doubts over current coach Kasper Hjulmand.
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Former St Pauli coach Hurzeler told Sky Deutschland: "It's always an honor to be linked with such rumors, but I'm really happy here in Brighton.
"There's still so much to play for before the end of the season. That's my only focus."
Hürzeler's deal is reported to carry a €15m buyout clause.
The 33-year-old also said: “I am definitely fully committed. I have no other thoughts.
"In football, you don't always get this kind of loyalty and support from a club. I feel truly valued and welcome here. I can develop and be successful here.”