There has been speculation that Vodafone chief executive Russell Stanners or Williams may have been considering throwing their hat into the ring for the Sky role, but earlier in the week Stanners said he had not been approached about the role and "had a great job already".
At the time, a spokesperson said the team was focused on work at Vodafone.
"Right now our entire executive team is focused on delivering great customer experiences to Kiwis and achieving our vision of becoming one of New Zealand's most admired companies," she said.
The company wouldn't comment on whether Williams had applied for, or been approached about the Sky role.
As well as external candidates, Sky TV has a number of experienced internal options for the head job several good including chief financial officer Jason Hollingworth, chief strategy officer George MacFarlane and product and technology head Julian Wheeler.