The Mighty Morphin Power Rangers received the power of the Dinozords as part of their original powerset. Throughout their battles with Rita Repulsa, the Dinozords would be summoned to the Rangers’ side whenever she made her monsters grow, often using their combined Megazord form to destroy them. New formations for the Dinozords were enabled as the Dragonzord and Titanus joined the Rangers’ side, such as the Mega Dragonzord and the Ultrazord
When Lord Zedd arrived to take over for Rita in conquering Earth, his monster Pirantishead stole control of the Dinozords and heavily damaged them in the process. After this incident, Zordon would upgrade the Dinozords into more powerful Thunderzords.
The Dinozords, in their upgraded Thunderzord forms, were completely destroyed by Rito Revolto.
It is possible that only their upraged Thunderzord forms were destroyed and that the Dinozords were severely damaged but fixable, as Zordon has saved them before on multiple occasions, and just lay dormant until needed again like the Dragonzord, but this is neither confirmed nor denied.