Fernandes believes the move would help Beckham’s dream of playing in the 2012 Olympic games.
The new QPR owner wants the 36-year-old to move to Loftus Road as soon as his Major League Soccer season ends with LA Galaxy.
Beckham’s current contract with LA Galaxy is set to expire at the end of the season.
A Rangers insider told The Sun: “Tony promised Neil Warnock plenty of support in the transfer market and proved that in the recent window.
“But bringing Beckham back to England next month would top the lot — and it’s not a pipe-dream.”