The phrase "arguably critical" is correct and usable in written English.
It can be used when discussing something that can be considered essential or important, but with some level of debate or subjectivity involved.
Example: "The research findings are arguably critical to understanding the impact of climate change on biodiversity."
Alternatives: "potentially essential" or "possibly vital."
Another obstacle to applying the French model elsewhere is that France enjoys certain unique advantages that are arguably critical to its success.
The development of Nigeria with its population of some 150 million people, oil reserves, and an abundance of entrepreneurial spirit, is arguably critical for the future of sub-Saharan Africa.
Then there are marketing, sales, operations and quite a few other domains, which are arguably critical.
The benefits of using social media are obvious to users, but social media management is arguably critical to local businesses, brands and services.
Even the extension of the unemployment benefits, while is arguably critical, doesn't have conditions in order for them to receive additional money.
Fourth, Southern innovators should realize that integrated business models are still viable in developing countries, and are arguably critical for reaching the base of the pyramid.
Strategic alliances are arguably more critical now than ever before.
Though strategic alliances have always been important, they are arguably more critical now than ever before.
The rabid support of his anti-immigrant base is what sustains him, and with Robert Mueller's report looming it is arguably more critical to him than ever.
But the situation is arguably more critical now both because Spain's problems are part of an international debt crisis and since a decade-long boom has made Spaniards forget about past hardships and decades of lagging behind most other Western countries.
Speech is arguably a critical part of human life, but it's not quite as much fun as kissing.
