How do you beat team rocket in goldenrod city and save the director?

You can't save the director from Team Rocket in Goldenrod City in Pokemon Gold, Silver, or Crystal. This isn't a part of the main storyline. Team Rocket's actions are focused on stealing Pokemon from the Radio Tower, not the director of any specific organization.

It's possible you might be thinking of a different location or a different game, or perhaps a fan-made story.

Here's what you do to deal with Team Rocket in Goldenrod City:

1. Go to the Radio Tower: This is where Team Rocket has set up their base.

2. Battle your way up: You'll encounter multiple Team Rocket Grunts on each floor.

3. Face the leader: At the top of the tower, you'll face off against the leader of the Team Rocket operation.

4. Save the Pokemon: After defeating the leader, you will save the Pokemon they were trying to steal.

Let me know if you have any other questions about the game!