New City boss Eriksson is yet to make a move in the transfer market since succeeding Stuart Pearce at Eastlands, although new arrivals are expected before the week is out.
The Swede is thought to be on the brink of an £8.8million move for Reggina front-man Rolando Bianchi and further striking reinforcements are expected given City's woeful goals record last term.
Richards, who has committed his short-term future to City following speculation of a big-money exit, would love it if Defoe was targeted by Eriksson.
"If I could choose anyone, I would like to see my good mate Jermain Defoe sign for us," the 19-year-old told 'City', the official Manchester City magazine.
"I think he would do really well for City and the way we are heading, I think it would be a great move for him too. Maybe I will give him a call and see what he says."
As Defoe has already signalled his intention to remain at Tottenham, any effort to lure him north by Richards is likely to be fruitless.
However, a summer of change is set to intensify at City before the new campaign begins at West Ham on August 11.
With a new owner and new manager, much has already altered since Richards limped out of last season with a combination of Achilles and foot problems.
Thankfully, those injuries are now resolved, allowing the defender, who became England's seventh-youngest international when he appeared in the friendly with Holland last November, to meet with Eriksson on his first day back at training.
"He seems like a really nice guy," confirmed Richards. "I had not met him before he took over at the club because he had just left when I got my first England call-up.
"Sven has the money - and he certainly has the knowledge. He has a great track record in management and all the players have a great deal of respect for him, so he has a good base to work from."
Richards has also had to get used to life without two long-standing team-mates as Sylvain Distin and Joey Barton have departed for Portsmouth and Newcastle respectively.
He admits to being 'gutted' at the pair's exit and feels their influence on City affairs will be missed.
"They were two of our key players and I am disappointed they have gone," he reflected. "I know Joey did a few bad things during his time at City and maybe he felt he needed a fresh start.
"But he was a nice guy to have around the camp and he will be missed.
"Sylvain made me feel welcome from the moment I arrived at the club, so I was sorry to see him leave too."
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