The Nationals have interest in Royals right-hander Zack Greinke and Rays right-hander Matt Garza. Desmond has been mentioned as possible trade bait.
"I guess it's good that other teams are interested in me, but I hope the Nationals keep me," Desmond said. "I have been with them my whole career. I hope they like me enough to not trade me. But as long as I have a jersey, I'll be OK. I really don't care who I play for. I would love to stay with the Nationals, though."
In 2010, Desmond played in his first full season in the big leagues, hitting .269 with 10 home runs and 65 RBIs.