Martinez was injured Monday night in a game in which he gave up a career-high six first-inning runs.
For the next week, Martinez will wear a protective boot and limit his activities to playing catch and riding an exercise bike.
"Hopefully, he'll get five starts heading into the postseason," manager Willie Randolph said. "We want to do the right thing and take the time to get it right."
The team hasn't decided on Martinez's replacement for Saturday's start against Colorado, but speculation falls on two Triple-A left-handers, Oliver Perez and David Williams.
REPLAY: The Mets continued their offensive funk Wednesday, getting shut out for the second time in three games after being blanked three times in the first 116. This time, the hitters wasted a strong Tom Glavine performance in a 3-0 loss to the Phillies. Glavine allowed three runs on six hits in seven innings.
The Mets have been outscored 27-4 in the past three games, all losses.
BY THE NUMBERS: 3 -- Number of Mets with at least 74 RBIs.