Zimmerman will be out of action for at least five days because of a groin strain. The Nationals didn't clarify how Zimmerman injured himself.
Zimmerman was scratched from the lineup before the Nationals left Space Coast Stadium in Viera, Fla., on Tuesday afternoon. Instead, Jerry Hairston Jr. received the start at third base against New York.
"Zim is the type of guy that feels -- and I agree -- that he doesn't need a lot of Spring Training at-bats, so we'll be real careful about how we bring him back," Riggleman said.
As for Rodriguez, he was running in the outfield at Digital Domain Park when he suffered a cramp in his calf. The injury is not considered serious; Rodriguez will miss at least two days. Instead of Rodriguez, Jesus Flores started against the Mets.
"The trainer feels confident that it is a little cramp-type thing in there," Riggleman said. "We don't want to turn it into anything more serious."