'managed to rest' is correct and usable in written English.
You can use it to indicate that someone was able to take a break, relax, or sleep after a period of effort or difficulty. For example: "After days of hard work, I finally managed to rest."
He was particularly fascinated by Goldberg's diet: having dropped, in his twenties, from three hundred and twenty pounds to a hundred and sixty, Goldberg somehow managed to stay slim for the rest of his life, even while owning and operating two (Chicago-style!) pizzerias.
With a visit to Manchester United looming on Saturday he managed both to rest a raft of key players and to avoid the sort of embarrassing League Cup exit which could have placed his still fledgling regime on the back foot.
(Imagine that in the 1950s an overwhelming popular vote in the deep south for a segregationist candidate managed to trump the rest of the country in popular votes despite the rest of the country being opposed).
This emotionally potent moment, almost surreal in the layers of meaning it conjures, carries a quiet force that manages to lay to rest any lingering skepticism audiences may be feeling in response to Mr. Lopez's conceit, which has precedent in the historical record but may still have some inwardly thinking, "African-American Jews?
Four managed to escape; the rest are still missing.
And after his death it turned out that he also managed to connect the rest of us to the other founding document that shaped our nation.
He had managed to get a rest and relaxation break, so, at least for two weeks, she really could be certain he was safe.
With some help from her father, who is separated from her mother, she managed to pay the rest of the first-semester tuition that her loans did not cover.
His team won all six, and James even managed to get some rest, averaging 36.7 minutes a game, below his average of 38.4 for the season and far from his days of more than 40 minutes a game in Cleveland.
