Sadly, a few sets of gold fish have died continuously due to a sudden infection of the white spot disease that has contaminated the tank. I was looking to place my turtles in that tank as they are getting a little too big for their own. Just wanted to know if the white spot disease would spread on them? Thanks
Ich, also known as "white spot disease," is a disease that affects freshwater fish such as goldfish (there is a marine variant as well). Being a reptile, turtles are not at risk for ich and so won't be infected.
However, having said that, I would strongly advise against just putting them in that tank with out a proper cleaning. The water is probably not generally healthy, as a result of any ich treatments you may have made and the dead fish that have passed through it. You'll want to ensure a healthy environment is not only a start point, but a maintained one, for your turtles.
As an aside, don't put any fish in with the turtles, they'll only become food.