… to contact me.”
This is a phrase is rather old (like the car in the picture!). I used it years ago, and you probably learned to use it, too. Perhaps you are still using it. But business language is changing fast. And today you’ll find that people are using a natural, more relaxed language.
I therefore suggest you use something like, “Please give me a call on … ” or just “Please call me on …”. Your readers will find that easier to understand, won’t they?