Parker, 38, was accused of murdering the 27-year-old financial adviser who has not been seen since April 2011, along with Paul Smith, 47. But they were cleared of murder last week after they pleaded guilty to holding Ms Spence against her will, assaulting her and attempting to defeat the ends of justice.
Parker and Smith will be sentenced at a later date.
Coats and Wade, both 42, are still on trial accused of abducting, torturing and murdering Ms Spence, which they deny.
Giving evidence for the Crown, Parker said he was approached by Smith at the start of April 2011, who asked if it was possible to let his flat out for a couple of days.
He said he agreed and that he was not living at the Meadowfoot Road property since October 2010 because of problems with flooding.