"West Ham would be something Eidur would consider, as there are some Icelanders there with the owners.
"Barcelona have always told him it is up to him what he wants to do, and they will not stand in his way if he wants to go."
Because there has been no official contact so far - as Gudjohnsen Snr confirmed on Sky Sports - his father is clearly trying to drum up interest in the 28 year old who is currently sidelined with a knee injury.
"I have heard about the interest from West Ham, but there have been no talks as yet.
"If they are interested in Eidur I am sure they will contact me."