The Scotland international is believed to have handed in a transfer request at Molineux earlier this summer.
However, despite the ongoing uncertainty over his future, Solbakken has no complaints regarding the way that the centre-back has conducted himself.
"I don't think there's any concrete interest in Berra, but he's trained very well and he had quite a good game for Scotland," Solbakken told reporters.
"I think he had problems adapting to having a more compact team and being more solid defensively.
"But he's really tried everything and has done well."
Berra, 27, joined Wolves in 2009 from Scottish side Hearts.