I just looked at nintendo.com, and it says for a bunch of the troubleshooting things it says "This indicates a problem with the Wii console and it will need to be repaired. Please call 1-800-255-3700 to discuss available options."
Under the topic Troubleshooting game disc problems, theres nothing about discs getting stuck, but they have stuff about game discs immediately ejecting.
You can look around this page and the rest of the nintendo.com customer service pages too. http://www.nintendo.com/consumer/sys...iscs.jsp#other