The phrase "anchored himself" is correct and usable in written English.
It can be used to describe someone who has established a firm position or sense of stability, often in a metaphorical sense.
Example: "In the midst of the chaos, he anchored himself in his beliefs and remained calm."
Alternatives: "grounded himself" or "rooted himself".
Mr Sweeney, who claims to be an experienced climber, was attached to his two children by a rope and anchored himself with an ice axe to stop them being swept away.
Cape Verdean and Jewish; Virginia and Massachusetts; gay and Baptist; slave and free; a counselor to the powerful and to the powerless: Peter Gomes smoothly navigated his own Mayflower through this sea of identities, because he anchored himself to none.
"I said, 'No, you go first, then I'll go.' He said, 'No, you've got a wife and kids.' " He finally threw an end of the rope to Firefighter DiBernardo, who wrapped it around his arm and anchored himself.
Until two years ago, Cone had always anchored himself on the first-base side of the pitching rubber, but he changed to the third-base side to improve the angle of attack on his breaking pitches.
Bostridge, on finest form, anchored himself to the piano lid as if to a ship's mast, then allowed himself to be tossed hither and thither as the music required.
Having slipped behind the Rangers' defense, Clarkson anchored himself in front of goalie Henrik Lundqvist and, with the shaft of his stick parallel to the ice, used the blade like a scythe, knocking down a shot by Adam Henrique that was sailing wide and sending it into the net.
It allowed him to anchor himself with her and with her family.
Lately he finds himself turning to ancient Taoist texts, to Confucius, to Buddhism, all to anchor himself.
I marvel now at how he learned to anchor himself – physically and mentally – in that suffocating darkness.
Richard's glance at the objects in the room is a beautifully judged gesture, conveying the attempt to anchor himself in the everyday.
At the same time, there is something desperately intense about the way Clare clings to details, anchoring himself in the particular.
