"in its hands" is correct in written English and is used to describe something that a particular entity has control over.
For example, "The future of the company is in its hands."
Every branch of state finance was therefore in its hands; it controlled revenue and expenditure and supervised the treasury.
Thus the government holds the information in its hands, and it remains to be seen what it will do about it.
The Fiver tried to bury its face in its hands, but found it had neither.
City has two matches to be played before the title can be claimed, but it has its destiny in its hands.
When the creature takes Brett in the first film it holds his head in its hands, lovingly, as he stands transfixed.
It has an immense power in its hands.
"The Iranian regime will be several times more dangerous if it has a nuclear device in its hands," he went on.
As the unspooling of red tape begins, the taskforce may find it has an even bigger burden in its hands.
For me, it's the monkey cradling its head in its hands.
It is that the ECB had the future of cricket in its hands in 2005 and dropped the ball.
"All the cards are in its hands.
