If it is 7010 MT yes but you will need to upgrade psu to 300+w that has a 6 pin PCIe connector required by hd5770.
I was wondering if the OptiPlex 7010 supported the Radeon HD 5770 because I'm planning on buying one and slotting in a Radeon HD 5770. Please help.
I was wondering if the optiplex 7010 supported the radeon hd 5770