Draxler, who was reportedly close to sealing a £36million move to the Emirates last month, can leave for a set fee in the summer, but Tonnies hopes he will stay.
Schalke chairman Clemens Tonnies hopes he can convince Julian Draxler to stay another year with the club, despite interest from Arsenal.
Draxler, who was reportedly close to sealing a move to the Emirates last month, can leave for a set fee of £37.8million in the summer, but Tonnies hopes he will stay.
"It would do Draxler good to spend another year or two with us," said the Schalke chairman.
"But we know we're not going to be able to keep a super-talented player like Julian at Schalke forever. If another club comes in for him, then we cannot block them. That would be unfair.
"I don't think he wants to join Bayern Munich, though."
Draxler is contracted to Schalke until 2018 but interest is growing in the 20-year-old, who became the youngest ever Bundesliga player to make 100 appearances while still only 19 last March.
Having failed to lure the German to Arsenal, Arsène Wenger was forced to sanction the last-minute loan signing of veteran midfidler Kim Kallstrom from Spartak Moscow instead. The Arsenal manager then admitted the Swede may never play for the club after picking up a microfracture on his back before flying to England.
While Draxler's future remains in doubt, Klaas-Jan Huntelaar has insisted leaving Schalke "is not part of the plan" after returning from nearly six months out.
Back-to-back victories have seen Schalke move back up to fourth in the Bundesliga and Huntelaar sees no reason to be anywhere else.
"Our priority is qualifying for the Champions League," he said. "We could still even finish second, but we shouldn't make things unnecessarily complicated for ourselves but rather take things from game to game.
"I still have 18 months on my contract here and I'm just delighted to be back on the field again. All I am thinking about is the second half of the season."