pester with

pester (one) with (something)

To annoy, irritate, or badger one continuously or relentlessly because of something in particular. The kids have been pestering me with constant demands for a new puppy. Please don't be one of those groupies that pester the band with requests for an autograph.
See also: pester

pester someone with something

to annoy someone with something. Don't pester me with your constant questions! I was pestered with phone call after phone call.
See also: pester