Barkley, who is currently sidelined through injury, was reported to have travelled to London on Thursday to be assessed by the Premier League champions.
However, the 23-year-old England international took to social media on Saturday to insist that was not the case.
“Contrary to a number of reports in the press, I did not undertake a medical with any club at any point,” Barkley wrote on his Twitter account.
“I simply decided that due to my injury, it would be best to make a decision on my future and assess all my options in January when fully fit.
“Thanks for all of the support.”