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

1.
〜の元へ殺到する, 〜の家を頻繁に訪れる
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.
彼女の小説がベストセラーになった後、出版社は彼女の元へ殺到し始めた。
•
If you offer a unique product, people will beat a path to your door.
もしあなたがユニークな製品を提供すれば、人々はあなたの元へ殺到するだろう。