The phrase "challenge us with" is correct and usable in written English.
You can use it when you want to encourage someone to bring new ideas or opportunities to a situation. For example, "The new CEO's job is to challenge us with fresh ideas and approaches to help our company succeed."
I expect them to challenge us with their kicking game.
His aim is, in fact, quite clear: to develop weapons of mass destruction so as to challenge us with impunity.
The research results of Haidar (1999) also support and, most importantly, challenge us with critical questions.
All these issues challenge us with the question: How can one design a low-delay communication protocol of low-duty-cycle MAC, routing, and synchronization schemes to provide good tracking accuracy while maintaining energy efficiency?
The value of third-party evaluations, is reflected in the following excerpt from Gap's 2009 website: External organizations challenge us with different goals, identify new or different ways in which we can enhance our program, and hold us accountable for results ("External Evaluations," n.d., para.1).
We have as much coal as the nation of Saudi Arabia has oil and still have vast reserves of undeveloped oil and gas here in the U.S. As China and India challenge us with cheap labor, this is no time to let political environmentalists destroy our economy.
She challenged us with her vast reading of literature and her daily reading of The New York Times.
That's good, but politicians have to keep challenging us with questions of intergenerational fairness.
He counted the journalist as a friend, and his column concluded with an homage: "Sivaram challenged us with his writing.
Social media also challenges us with the creation of more and more content in line with the digital world, such as videos.
At its best, though, the video material (with which Noble and Silver engage in intricate interactions) challenges us with its intimacy or plain offensiveness.
