New tenant wants to hang big pot/pan rack above kitchen counter

[Kevin McDonald]

A new tenant just moved into my rental house (year lease signed).  He asked if he could hang a rack above the kitchen counter to hang pots and pans on it.  I told him I need to think about it.  Am I being unreasonable if I tell him he cant?  I know this rack needs to be fastened into the trusses or brackets tied to the trusses.  I just finished doing a really good paint job on the whole house , and feel if they leave in a year its going to leave 4 massive holes in the ceiling which will need to be filled and now the whole ceiling will need repainting. 

I almost want to say if you want to hang it, its going to be a professional person go in the attic and add in proper bracing to hold the rack (at renters expense) and when you leave the rack stays.

What would you do?