"manage a challenge" is correct and usable in written English.
You can use it to express an idea of overcoming difficulties or complicated situations. For example, "The team was able to manage the challenge and complete the project on time."
Knowing these mechanisms is vital as new policies are introduced at the national, provincial and district levels The purpose of this paper is to explore how individuals (i.e. patients and healthcare providers) manage a challenging and challenged system to obtain service (i.e. patients) and provide it (i.e. healthcare providers) in a meaningful way.
For example, one of my consulting clients asked me to coach their executives on how to manage a critical leadership challenge they are experiencing.
Piccadilly Gardens, which I manage, is a challenge for many reasons, but on a warm summer's day with thousands of people having lunch and enjoying being out – that's good.
Although Netanyahu, 69, emerged the victor despite possible criminal indictments hanging over him, Gantz managed a formidable challenge, proving that the veteran prime minister is not invincible.
They're absolutely not trained to manage a conversation which is challenging what they do.
It's a serious challenge to manage a couple in a cost-effective way.
To speed the changeover, the new department will have to develop a common computer system for agencies with disastrous track records in managing information, a challenge that members of the transition staff have started working on.
Corporate leaders can inspire change by showing that success is possible, even while managing a mental health challenge or condition.
Managing a business is challenging work.
Germany also faces a demographic challenge, managing a population that is not only graying but shrinking.
