The 20 year-old France international declared he could not guarantee he would stay next season, sparking talk of an imminent move to Arsenal.
But Reschke insists there's no reason for panic.
"I am deeply relaxed. The statements of Benji are completely fine. In this spirit, we have always held our discussions. He has played a top season for VfB and it is clear he is in the focus of top international clubs," shrugged Reschke.
Pavard is tied to Stuttgart until 2021.