De Zerbi opted to start the Sweden international for the first time in Spurs' preseason campaign as they won a penalty shootout after a 1-1 draw with Sydney FC.
Bergvall has found himself at the centre of transfer interest from several clubs - with Newcastle United reportedly seeing £46 million bid rejected for the 20-year-old - after they sold Sandro Tonali for £100 million.
De Zerbi has been bullish over his lack of flexibility on retaining players who want to leave, and that is his message to Bergvall, despite his desire for the towering midfielder to stay in North London.
"Lucas has never said that he wants to leave and I'm speaking to him every day.
"I would like him to stay with us, as I think he has the potential to be a top, top player.
"But, I don't want to have to convince anyone to stay here. Tottenham is a top club and we shouldn't have to convince anyone.
"I hope he stays as it's not easy to find a young player at that level."
Get ready for the new Premier League season
The Premier League returns on Friday, August 21st as defending champions Arsenal host new boys Coventry in the 2026/27 curtain-raiser.
Get ready for kick-off ahead of the new season:
- Transfer Tracker: All the latest done deals and rumours
- Premier League fixture list revealed for 2026/27
- All Premier League and top European club kits for the 2026/27 season