Ryder, a former All-Australian, is out-of-contract at the end of the season and has attracted interest from several clubs, including Greater Western Sydney.
The Power are keen to hold onto the former Bomber but are only willing to offer a one-year deal to remain at the club.
The Giants are reportedly open to offering Ryder a two-year deal worth over $400,000 a season, should Ryder become available.
If the 31-year-old elects to stay with the Power, he will be faced with tough competition for the ruck position, with Ladhams and high-profile recruit Scott Lycett waiting in the wings, with youngster Sam Hayes also continuing to develop.
Despite the rival interest in Ryder’s services, it is unclear whether the ruckman is keen to move interstate for a second time, following his departure from Essendon in 2014 during the drug saga.
Ryder currently holds the number one spot in the Port Adelaide lineup following a strong performance against Essendon in round 20, with Lycett controversially dropped to the SANFL.