The agent of in-demand Benfica striker Oscar Cardozo claims his client would be happy to remain in Portugal.
Reports have linked the Paraguay international with a move to the Premier League, with Manchester City and Cardiff City said to be among those keen on doing a deal.
Quotes attributed to Bluebirds boss Malky Mackay over the weekend suggested that he was planning a big-money bid.
Cardiff have, however, moved to distance themselves from an audacious approach, and Cardozo's representative admits no agreement is close.
Pedro Aldave has also suggested that the prolific 30-year-old old could now end up staying put, having previously hinted that a summer transfer was all but wrapped up.
He told Diario de Noticias: "Is he certain to join Cardiff next season? I am not aware of such information.
"Cardozo will be in Lisbon on 17th July to start pre-season training at Benfica, where he wants to stay."
Starnes will depart Huish Park at the end of this week after almost six years with the Somerset club, culminating in May's promotion to the Championship via the League One play-off final at Wembley.
The 58-year-old, formerly chief exec at Swindon, will also join the board at Plymouth when he starts his new role on Monday.
Argyle chairman James Brent told the club's official website: "My fellow directors and I are delighted to welcome Martyn to Plymouth Argyle.
"Martyn brings years of experience in running football clubs and has demonstrated that, even for a club which has a much smaller fanbase than Argyle, financial prudence can be combined with league success.
"We are confident that Martyn will leverage the additional revenues anticipated from the new grandstand to support John Sheridan in moving Argyle back up the Football League. It is a measure of Martyn's confidence in Argyle that he has decided to join us from a newly promoted Championship club.
"I look forward to the new season with enthusiasm and excitement."
Meanwhile, Yeovil have also wished Starnes well in his new role.
Town's official website read: "All the staff and board of directors would like to put on record their thanks to Mr Starnes for all his work for the club during his time at Huish Park, and wish him the best of luck at Home Park in the future."
