Franklin was placed on the 7-day concussion DL after Friday's game, the Tampa Bay Times' Roger Mooney reports.
He was pulled from Wednesday's game after a freak incident when he was hit by a teammate's bat during a swing in the on-deck circle and surprisingly received a pinch-hit opportunity Friday. Franklin can now be ruled out until at least next weekend, and Mikie Mahtook and Corey Dickerson figure to split time in left field in the short term.