Solskjaer and his Manchester United side are currently preparing for the upcoming season in Asia.
The Norwegian has a huge task facing him, but insists he is up to the challenge of restoring United to the success of yesteryear.
He was part of a trophy-laden spell at Old Trafford which was hugely influenced by former skipper Keane.
The two still retain a strong friendship and Solskjaer admits the two have held discussions in which the Irishman voiced his opinion.
That opinion in recent years has not always gone down favourably at Old Trafford with Keane anything but kind, but Solskjaer insists he listens with open ears.
“I’ve already been at his house for a cup of tea,” said Solskjaer.
“With me and Roy, there’s no point me talking about our relationship. I keep in touch with Roy.
“He was a fantastic leader. I loved having him as my captain. We’ve become friends.
“I know Roy did an interview saying there are many people that claim to be his friends. But I feel that we are quite close.
“And I always listen to Roy and his opinions – I value them very highly.”
Keane’s relationship with Sir Alex Ferguson broke down prior to his departure in 2005 and the two have not rekindled.
Nevertheless Keane was a standards driver during his 12 years at Old Trafford, something United have sorely missed in recent years.
And Solskjaer said he is going to be a ‘dictator’ when it comes to picking his United skipper rather than seek the advice of his players.
He said: “There are different ways of picking a captain. You can have club captains, you have players choosing or you can have me being like a dictator.
“We have got leaders in this group. We’ve shared it around with Juan Mata, Ashley Young, then there’s David [De Gea], Paul [Pogba] and Nemanja Matic.
“We’ve had loads of captains. But I accept good ones like Keane and Bryan Robson are hard to find. And now [Vincent] Kompany has left City it will be hard for them to replace him too.”