The Abu Dhabi government-owned airline, the club's shirt sponsors, last month struck a new 10-year deal for stadium naming rights and to fund the proposed new Etihad Campus.
City did not disclose financial details but it was reported the agreement was worth ?400million.
With Etihad having close links to City's owner Sheikh Mansour, a member of the Abu Dhabi royal family, some critics have suggested this could be an attempt to circumvent UEFA's new financial fair play regulations.
Arsenal manager Arsene Wenger last month called on the European governing body to investigate the matter.
Jean-Luc Dehaene, chairman of UEFA's Club Financial Control Panel, was on Tuesday quoted by the BBC saying: "I have some questions, yes.
"But it would be dangerous for our authority if we take judgements without facts."
He added: "If we see clubs that are looking for loopholes we will act.
"It is not enough to say, 'We've got a sponsorship contract and that's okay' if the contract is out of line."
City have previously said the speculated figures concerning the Etihad deal are "not accurate".
City have also underlined the importance of the agreement to the Etihad Campus project, which will feature a new 80-acre state-of-the-art training complex near to the Etihad Stadium.
The facility will also include an academy for 400 players, 16 football pitches, injury rehabilitation units, a 7,000-capacity stadium and staff offices.
City chief executive Garry Cook told the BBC: "The Etihad Campus, which constitutes some 210 acres is unique in its breadth, depth and length of term.
"It involves the tradition, which is shirt sponsorship, the naming rights of the stadium, but what we haven't seen in football is a campus, creating a place to be, to work.
"We've got a great relationship with Etihad. It's a long-term programme and they are equally very excited by it."
Source: Team Talk
Source: Team Talk