Hathurusingha said Sri Lanka "have a lot to improve" but he was optimistic they could turn the corner after a dismal year of losses, leadership changes, injuries and scandal for the former World Cup winners.
"I am excited to take up the challenge. I am excited with the talent and skills available with my team now," Hathurusingha, 49, told reporters Sunday.
A tri-nation one-day international tournament starts Monday with a contest between Zimbabwe and Bangladesh.
Sri Lanka's first match of the event is against Zimbabwe Wednesday, before they face Bangladesh two days later.
The islanders are licking their wounds after their worst performance since 1987.
Angelo Mathews stood down as captain in July amid the turmoil but just six months later was reappointed skipper for limited-overs cricket ahead of the 2019 World Cup.
Sri Lanka were the final team to qualify for the tournament they won in 1996.
He ruled out being "emotionally attached" to his former side, but wished Bangladesh well in the tri-nation series.
"I worked with them closely and got to know them really well. At the same time, I want Sri Lanka to do well," he said.
Mathews, 30, said he was pleased to return as skipper. "I never expected it, but I am looking forward to it," he said.
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