"At the end of the day my focus is just here with the Reds," Genia said. "Captaincy, all those sort of things don't worry me at this stage. It's just about rolling up and doing as well as I can for the club."
Genia would not be drawn on whether players who decide to take up offers overseas, including Mowen or Digby Ioane, should still be considered for Wallabies selection.
He said players knew what they were sacrificing when they made such a decision and it was a personal call whether you were willing to give up a Wallabies jersey.
"I've played with Ben and as a teammate I respect his decision, I admire the courage it's taken to make a decision like that," he said.
"It's obviously well publicised, the cash on offer and things like that, but it's individual circumstances, what's important to each individual player.
"I don't think it's disrespectful to say guys go overseas and want to still play for the Wallabies ... but the policies are put in place that if you make that decision to go overseas you understand that you forfeit that right."
Reds coach Richard Graham says Genia and Horwill, who lost the Wallabies captaincy to Mowen in November, must be considered for the role later in the year. But he also believes playmaker Cooper has a hope of completing a remarkable transformation from rugby outsider to national team captain.
"Quade's been a leader here over the last four years," Graham said, "and the way that he leads a game, he led the team very well last year against the Lions." AAP
