The company faced a deadline Friday - lodge the appeal or stop its drivers from working in one of the largest cities in the world.
She said the document that Uber filed to court does not contain the grounds for appeal.
The appeal process could take months, during which time Uber can continue to operate in London.
The appeal hearing is likely to be on December 11, according to a spokesperson for the United Kingdom judiciary office. In his open letter Khosrowshahi vowed to make things right with for Uber, so that it can still drive through the streets of London.
TFL accused Uber last month of showing a "lack of corporate responsibility" in relation to "public safety and security".
Today was Uber's last day to appeal Transport for London's decision not to renew its licence.
Earlier this month, Uber's new chief executive Dara Khosrowshahi met Mike Brown, who runs Transport for London.
London Mayor Sadiq Khan has accused Uber of not "playing by the rules".
A TfL spokesperson said: "We note that Uber has submitted an appeal". Uber has been trying to placate the regulators.
He also apologised for the companys past actions and promised to change.
Some 3.5 million passengers and 40,000 drivers use the service in London, according to Uber. The company claims to have 40,000 drivers in the United Kingdom capital.
An online petition calling for the ban to be reversed has been signed by more than 850,000 people. A Reuters investigation last month found that Uber uses a loophole in the tax system to not pay value added tax (VAT) in the United Kingdom on the booking fees it charges. "No further comment will be made pending the appeal hearing". If they are deemed to be employees, Uber may have to give them benefits such as paid leave.