beat a path to someone's door
US /biːt ə pæθ tu ˈsʌm.wʌnz dɔːr/
UK /biːt ə pæθ tu ˈsʌm.wʌnz dɔːr/

1.
to visit someone often because you want to buy their products or services, or because you want to spend time with them
:
•
After her novel became a bestseller, publishers started to beat a path to her door.
•
If you offer a unique product, people will beat a path to your door.