The phrase 'most pressing concerns' is correct and can be used in written English.
For example, "The board of directors discussed the company's most pressing concerns."
In many ways this is a modernized, realistic budget, focused on the most pressing concerns.
"Addressing a community's most pressing concerns for food or water does not require mapping software.
While housing is a national crisis, the most pressing concerns differ from area to area.
The most pressing concerns have to do with health and finances, of course.
At that time, Boko Haram was one of the most pressing concerns.
Tariffs and the international nature of the fashion workforce are the most pressing concerns.
Among their most pressing concerns, the study found, are political corruption, drug-related violence and crime.
Among the most pressing concerns of land managers in post-wildfire landscapes are the establishment and spread of invasive species.
Energy trilemma is one of the most pressing concerns on agendas of many governments and international organizations.
For anyone with a knowledge of children's services, however, it also exemplifies one of the sector's most pressing concerns.
New Directions is a short-term approach, educators know, but one they hope will help with their most pressing concerns.
