Sogard, 30, missed all of 2016 after undergoing knee surgery, having played in parts of each of the previous six seasons with the A's -- three of them as a semi-regular player. His defensive versatility is largely valued by the A's, but with enough Major League service time to elect free agency, Sogard could seek employment elsewhere.
Like Sogard, Rodriguez has the necessary service time to opt to become a free agent. The right-hander had a 4.20 ERA in 34 games for the A's this season before undergoing September shoulder surgery to repair a complete tear of his lat tendon. He's expected to be able to begin a throwing program in three months.
Ladendorf had a career-high 50 plate appearances with the A's this season but collected just four hits. Lambo, meanwhile, appeared in just one game for them before being optioned to Triple-A Nashville and receiving a diagnosis for testicular cancer. Lambo is currently cancer-free.
Wendelken is expected to undergo Tommy John surgery this month, after making eight appearances for the A's this year.
Jane Lee has covered the A's for MLB.com since 2010. This story was not subject to the approval of Major League Baseball or its clubs.