The National League team recently acquired the forward's B-licence but they will not be able to have him in the lineup.
The forward will return to Lausanne on a B-licence as an injury replacement.
His original contract expiring next spring, the netminder will stay in Zurich for another three years.
Following the signing of Christoph Bertschy, HCFG has now a limited budget to build the roster for the next season.
With several players holding expiring contracts, Kläy gave the Luzerner Zeitung some insights about his plans for the next season.