"resonate broadly" is correct and usable in written English.
You can use it to describe something that has a widespread impact or influence. For example, "Her speech resonated broadly with the audience, inspiring them to take action."
It should come as no surprise that he is not a household name, even if the issues he addresses resonate broadly.
He added that he believed the album's sentiments would resonate broadly, adding that "it's not a political, Democratic versus Republican feel".
In a community of 37,000, with schools that bring together children from all parts of town, occurrences like these resonate broadly.
His supporters are hoping that his aggressive stance on trade and his criticism of Clinton for supporting free-trade treaties will resonate broadly in a region that has lost a lot of manufacturing jobs.
In some cases, the optimal approach may be to sort out which ideas resonate broadly and proactively take actions with wide support to demonstrate responsiveness to investor concerns without acceding to the activists' more parochial demands.
The issue, however, does not resonate broadly among the public, which remains averse to provoking other Asian countries over issues of history and territory, and Mr. Abe avoided talking about the matter during the national parliamentary elections this month that swept his Liberal Democrats back into power.
Nolan's Batman movies, though basically linear in structure, resonated broadly as shadowy political allegories.
While still a nascent operation, the Pensioner Party's message resonates broadly with voters in Germany and across Europe.
Some political analysts seem taken aback that Sanders's leftist language is resonating broadly among Democrats, particularly young ones, but they shouldn't be surprised.
Mr. Metheny, 58, is a guitarist whose music has resonated broadly throughout jazz and instrumental pop, a dazzling virtuoso with a warm human touch.
To that end he typically sang about common life experiences, such as finding love and the challenges of personal relationships, that resonated broadly with his audiences.
