Spanish directors have no problems in the midfielder leaving for Serie A as Luis Enrique's shopping spree continues, with the Argentine joining on loan with option to buy
Bronzetti, who has a host of associations at Madrid, is working to secure a transfer for the Argentine midfielder who is apparently not part of Jose Mourinho's plans.
An earlier move to Boca Juniors fell through, leaving Roma with room to manouevre.
And there is optimism an agreement between the clubs can be reached over a loan with a purchase option set at €6 million (£5.3m).
"I have spoken with Real Madrid directors and they have given the transfer the go-ahead," Bronzetti told Tele Radio Stereo.
"I have been asked to assist in this transfer and now Roma look like they are in a position to close a deal.
"Gago and his agent are still in Madrid, and Real Madrid know the only way is a loan.
"There is also an option to buy for €6m."
Gago joined Real Madrid from Boca Juniors in January 2007, but has been struggling to secure regular first-team action in the past two seasons.