I would give them a clear reset cue.
If the first press is beaten and the next player cannot get pressure on the ball quickly, the team needs to recover and become connected again.
You might use: “Can we press together? If not, recover together.”
Then build games where one team gets a point for playing through the first press. The defending team has to decide whether the next action is another press or protecting the middle.
I would avoid one player continuing to chase simply because they started the press.
At U11, pressing is not about permanent forward running.
It is about pressure, cover and distances.
If those relationships have gone, the clever decision can be to stop chasing, get goal-side and rebuild the next defending picture.
