He told police he did not know who had used the club on Ms Spence.
Parker is one of four men accused of the 27-year-old's murder. Colin Coats, 42, Philip Wade, 42, and Paul Smith, 47, are also on trial for abducting, torturing and killing Ms Spence, which they deny. They are accused of holding her hostage for up to a fortnight and assaulting her in an apparent bid to extract financial information from her.
Parker said he agreed to allow his Meadowfoot Road flat to be used after being approached by Smith.
He told police in the interview on October 31 2011: "This has given me post-traumatic stress disorder. I'm on medication, I'm seeing a psychiatrist after this."