Cika wannan magana: A ranar 1 ga Maris, 2010, Oilers sun yi musayar Grebeshkov zuwa Nashville Predators a musayar zagaye na biyu na zagaye a
Shekarar 2010. A ranar 2 ga Maris, ya zira kwallaye a wasan farko na Predators a nasarar 4 zuwa 3, abin ban dariya yana zuwa kan Oilers. A wasa na huɗu da yake yi da Predators, Grebeshkov ya sami harbi a cikin kashinsa a kan Vancouver Canucks. Kodayake ya ci gaba da wasa bayan harbi da aka katange, ya buƙaci aikin tiyata na gaggawa a ɗayan ƙwayoyinsa bayan wasan, wanda ya sa ya rasa ragowar kakar wasa. An share Grebeshkov don yin wasa kafin wasa na 2 na Wasannin Yammacin Yammacin Yammacin Yammacin Yammacin Yammacin Yammacin Yammacin Yammacin Yammacin Yammacin Yammacin Yammacin Yammacin Yammacin Yammacin Chicago Blackhawks. Koyaya, ya kasance mai kyau don Wasannin 2, 3 da 4 yayin da Babban Kocin Predators Barry Trotz ya zaɓi ya buga rookie Cody Franson a madadinsa. Grebeshkov ya fara buga wasan Stanley Cup a wasan na 5, yana yin rajistar taimako biyu a cikin shan kashi 5 zuwa 4 na Predators.