What can I do if I damage my 10NES chip to restore my NES system?

If the screen is flashing once a second, the 10NES chip is still active and you did not pull the right pin. The flashing is the 10NES resetting the console.

If the screen is no longer flashing, then you have a different problem. As a comment mentioned, pin 5 of the 10NES is not actually connected to anything.