Kammala wannan jumla: Domin 1995, ya ci gaba da kasancewa a cikin tsari. Ya fara wasan Ranar Budewa ga ƙungiyar sau ɗaya, a wannan lokacin ya ba da izinin gudu biyu a kan bugawa huɗu yayin da ya buga uku a cikin wasa shida na aiki, kodayake Indians sun rinjayi Texas Rangers 11<unk>6. Ya tafi 12-5 tare da 3.08 ERA a wasanni 28 da 187 da aka buga. Yana da bugun jini 99 tare da tafiya 46. Ya yi kwallo 15, sau biyu sau uku, 46 yana taimakawa da kuskuren hudu, na biyun shine mafi girma a gasar yayin da yake da kashi.938. Ya gama a cikin manyan goma na nau'ikan da yawa, kamar WAR (5th, 5.7), ERA (3rd), tafiya & hits a kowane inning (3rd, 1.176), da kuma gida gudu a cikin tara innings (9th, 0.818). A ranar 28 ga Satumba, wani ɗan wasa na Martínez ya karya jaw na Hall of Famer Kirby Puckett. Wannan zai zama wasan karshe na Puckett na aikinsa, ya yi ritaya a 1996 saboda glaucoma a idonsa na dama, wanda ya kasance sakamakon bugun Martínez. Martínez ya buga wasanni biyar don Indians a lokacin da suke zuwa gasar zakarun Amurka, aikinsa na farko tun daga 1979 tare da Orioles. Ya tafi 1 <unk> 2 tare da biyu ba yanke shawara. Ya fara wasa na 1 na duka ALDS da kuma
ALCS. Abin da ya sa? Ya sami nasararsa ta farko a wasan wasa na 6 na ALCS, inda ya buga wasa bakwai yayin da ya ba da izini huɗu kuma ba ya gudu tare da bugun jini uku da tafiya ɗaya a kan filayen 90 yayin da Indians suka ci pennant 4<unk>0 a kan Seattle Mariners. Ya fara wasa na 2 da na 6 na Wasannin Duniya, yana karɓar asara a cikin tsohon yayin da ba shi da yanke shawara a cikin na biyun, kodayake Braves sun ci nasara don lashe Wasannin a wasanni shida.