"become in demand" is correct and usable in written English.
For example, you could say, "This new technology has quickly become in demand among customers."
Suddenly, at the age of 23, Annacone had become In Demand.
Dr. Kushner, a terrorism expert with a coordinate expertise in generating non-ivory tower sound bites, has become in demand on the talk show and lecture circuit since Sept. 11 and surmises that the beeper summons is just one more media request.
While many crypto investors believe privacy coins have the potential to become in demand, so far, one of their main constituencies is people who intend to purchase illegal goods.
From the 90s into the early 2000s, Rashad and his partner Spinn became in-demand DJs around town, playing to huge crowds of teens at venues like the Dolton Expo Center and the Markham Roller Rink.
She started out casually entertaining people at social occasions; then she became in demand as a performer at private occasions in N.Y. and London.
Black subcontractors became in demand from white firms, which saw that their cheap labor offered an edge in bidding for government jobs.
But as her picture continued to make international headlines, the young woman became in demand.
Initially, Freeman had planned for one party bus to Pasadena from Orange County, but his special event became in demand.
As wireless-photonic systems become in increasing demand, low-cost implementation of such systems will be desirable.
Nor is it clear how radical the protesters will become in their demands.
Rooms that can adapt themselves for various uses will become increasingly in demand as cities become more crowded and the nature of work becomes more collaborative, they've said.
