I see both JG Ballard and Chris Morris as surrealists of the everyday, and while Morris's media-themes and bizarre juxtapositions are frequently reminiscent of Ballard (whether directly influenced or not), Ballard's satirical side is often missed, as his humour is so deadpan: the whole civilization reverting to savagery thing (High Rise etc.) is to me always at least partly satirising lifestyle, media, consumerism etc., and his pseudo-academic style (as in The Atrocity Exhibition) could be compared to Morris's absurdist appropriation of authoritative news language.
For me, the most obviously Ballard-inspired example of Morris-related material (performed by Morris, but I suppose it could have been written by Armando Iannucci) is The Day Today's delayed train whose passengers descend into tribal violence (episode 6) - "by the time they arrived in London, most of the commuters had put their clothes back on and wiped off the blood". It's conceivable that this story might actually be a specific parody of Ballard. Many of the scenarios in (Blue) Jam are evocative of Ballard - disaffected protagonists who are psychotic but eerily calm, as if whatever insane thing they are doing/saying makes perfect logical sense. And the hyped-up TV news coverage of real events often strikes me and I'm sure many others as both Ballardian and Morrisian.
Obviously these instances don't count as direct evidence of an influence of Ballard on Morris, more as parallels; but I tend to think of the two as being different programmes on the same channel (or whatever other tacky metaphor!), with an intermediate stage between the two being Will Self.