Parker angered owner Shahid Khan last week when he said there had been no meetings with the club over where Fulham go now and his own future after relegation from the Premier League was confirmed last week.
The Fulham boss has insisted that his focus right now is on his team’s final two games of a dismal campaign, at Manchester United tonight and against Newcastle on Sunday, and trying to finish the season as well as possible.
The 40-year-old still has two years of his Fulham contract left but has been linked with Tottenham and Bournemouth, with the former in need of a long-term successor to Jose Mourinho who was sacked last month.
Addressing reports of a potential rift between himself and Khan, Parker said: “No. Not at all – there is no problem between us.
“It’s not in question that myself, my staff and this team will do that.”
Parker also insisted that Fulham are determined to hang on to defender Adarabioyo, who has emerged as a transfer target for Arsenal and Newcastle this summer.
He continued of the ex-Manchester City talent: “He doesn’t need to go. Every relegated team sees other teams coming for your better players.
“But he’s under contract – I can’t see him going anywhere.”