Will burying a line damage my property?

A landscaper accidentally cut the xfinity cable two weeks ago. A technician came and patched it and everything is working fine (I only get Internet). He placed an order to bury a new line and I cam concerned what this entails and how much damage it may cause my property. The xfinity box is on the other side of the driveway and the existing cable goes underneath it and along the entire front yard to get to the xfinity console at the side of the house. 

I called customer service to speak with someone that will do the work to understand what type of work is needed for this. I just had the driveway redone and yard redone. Customer service said I cannot speak to anyone in that department and need to wait up to 14 days for them to do the work. She did not understand my concern and even told me I don't need to be home. The whole point of my call is for Xfinity to do NO work on my property until I know exactly how they plan to bury the line. If it will cause too much damage to the property I would rather cancel this since the existing patched cable is fine.