"he quitted" is correct and usable in written English.
You can use it when someone has left a place in an abrupt or unceremonious manner. For example, "He quitted the party without saying goodbye."
After his return to Rome, he quitted his house on the Palatine Mount, and went to live near the market-place, endeavouring to make himself more popular in those parts, where most of the humble and poorer citizens lived.
Then, to encourage the king's army further, to bring them all upon the enemy while he was in confusion, he quitted his horse, and fighting with extreme difficulty in his heavy horseman's dress, in rough uneven ground, full of water-courses and hollows, had both his thighs struck through with a thonged javelin.
When the army had retired and dispersed into their several states, the Lacedaemonians in anger fined their king in so large a sum of money, that, unable to pay it, he quitted Lacedaemon; while Cleandrides fled, and had sentence of death passed upon him in his absence.
Clauses with predicated Themes always have it + verb be + theme and the non-predicated agnates: e.g. "It was 2 years ago that he quitted smoking"/"He quitted smoking 3 years ago".
