The midfielder has rejected Pompey's offer of a new deal and is free to find a new club from July 1, with Bolton likely to be his destination.
Davis claims he has not heard from the club since the end of the last campaign and has dismissed talk he had been offered improved terms.
The 29-year-old said: 'I have not spoken to anyone from Portsmouth since I was sick on the last day of the season.
"To be honest, I have given up worrying about what Portsmouth say or do.
"I enjoyed my time there but it is time for a fresh challenge."
When asked where he would be playing his football next season, Davis added: "I am still undecided.
"I am on holiday until the end of June and will make a decision after that."