The phrase "able to conquer his" is correct and usable in written English.
It can be used in contexts discussing someone's ability to overcome challenges or adversities, often relating to personal struggles or conflicts.
Example: "Despite the many obstacles he faced, he was finally able to conquer his fears and pursue his dreams."
Alternatives: "capable of overcoming his" or "able to defeat his".
One notable racer who has not been able to conquer his jumping fear is Antoine Deneriaz of France, who won the Olympic downhill in 2006.
One feels oppressed by the emotional and intellectual knots in which Ellison bound himself at the end of his life; had he been able to conquer his own caginess and social ambition, he might have produced the work that he and the world were waiting for.
It was a kind of miracle – helped by inherited wealth – that the troubled Cézanne was able to conquer his demons by standing out in the southern sun, painting a mountain, or dwelling in suspended desire on the roundness of fruits in a bowl.
A dependence on drugs blighted much of her later life, but she was finally able to conquer her addiction with the help of a partner whom she called "my angel" but refused to identify.
As Harald had not been able to conquer Denmark despite his raids, he wanted to win a decisive victory over Sweyn.
Like other pro athletes, he thought he ought to be able to conquer golf the same way he conquered his primary sport.
Within a remarkably short time, General Bonaparte and his small expeditionary force were able to conquer, occupy, and rule the country.
Yes, he did his virtues score-card, and he was finally able to conquer the 12 that he had listed for himself like frugality and industry.
Following his lead, the Americans Walter Reed, William Gorgas, and others were able to conquer the scourge of yellow fever in Panama and made possible the completion of the Panama Canal by reducing the death rate there from 176 per 1,000 to 6 per 1,000.
And no-one was able to conquer the conditions to beat Snedeker's clubhouse lead as he collected his eighth USPGA tour title.
With his father-in-law and ally securing the empire's western flank, Tigranes was able to conquer territories in Parthia and Mesopotamia and annex the lands of the Levant.
