The phrase "has gained worldwide popularity" is correct and usable in written English. You can use this phrase when referring to something that has become well-known in many parts of the world. For example: "The Harry Potter series of books has gained worldwide popularity since its publication in 1997.".
The service has gained worldwide popularity since it was created in March 2006, with more than 316 million monthly active users in June 2015 who posted 500 million tweets per day.
Among the various types of belt conveyors, the multi-drive technology has gained worldwide popularity in recent years because of the cost saving opportunities as a result of the possible reduction of the belt weight.
The use of Complementary and Alternative Medicine (CAM) has gained worldwide popularity.
Complementary and alternative medicine (CAM), including Traditional Chinese Medicines (TCMs), has gained worldwide popularity over recent years [ 1, 2].
Tattoos have gained worldwide popularity in recent years, and vaccinations are universal preventive measures designed to minimize morbidity associated with specific pathogens.
Panasonic today introduces the LUMIX DMC-ZS7, the newest member of the acclaimed superzoom ZS-Series of digital cameras that have gained worldwide popularity.
Although gaining worldwide popularity for a sprint double victory at the Beijing Games, Bolt has had more victories as a 200 m runner.
Being a terminologist, I care about word choice. Ludwig simply helps me pick the best words for any translation. Five stars!
Maria Pia Montoro
Terminologist and Q/A Analyst @ Translation Centre for the Bodies of the European Union