Frank, who signed Schade from Freiburg in 2023, is reportedly eager to work again with the Germany international.
He began his career in the youth systems of Energie Cottbus and Freiburg, making his Bundesliga debut in August 2021.
In January 2023, the Germany international joined Brentford on loan before the move was made permanent, reportedly for a club-record fee of around £22 million ($29.3m).
"He’s grown a lot this season. Scoring 10 goals – not many players have scored 10 goals in the Premier League in their career – and he’ll most likely become even better next year. That’s the plan,” Frank said.
“With his pace going in behind, his threat in the box on headers – two fantastic headers (against United), the first one is an incredible header, the second one is just top class – but also if we go longer he’s one that can win a flick-on and, with set pieces in both boxes, he’s working hard."