"quick to adapt" is correct and usable in written English.
You can use it to describe someone who is able to adjust quickly to a new situation or challenges. Example: Susan is very smart, creative, and quick to adapt.
And colleagues say he was quick to adapt to each client, an essential skill.
"You need to be very quick to adapt your voice," she said.
"Governments, educational institutions and professional associations have been far too quick to adapt the test for whatever agenda they have.
Estancieros have proved quick to adapt to changing markets, switching breeds and supplementing alfalfa feed with grain sorghum in order to produce leaner meat.
And it seems the street workers, or lucciole – fireflies – as the Italian press calls them, have been quick to adapt to the authorities' new interest in their business.
Mystery spinners are usually more effective early in their careers because the mystery wears off but Narine has shown himself quick to adapt.
CFTC Commissioner Bart Chilton acknowledged that the agency should have been quicker to adapt.
Common law is more flexible and quicker to adapt to change, provides stronger investor protection and is less likely to sanction heavy-handed state intervention.
Early modern humans – more gracile, and perhaps quicker to adapt and take advantage of their environment – then migrated north from Africa to outpace and outlive the first Europeans.
The UK appears to have been quickest to adapt to the new world of online drug trading, with the highest percentage of people who had ever bought drugs online.
WeChat represents the new field of battle online, and official voices have been quicker to adapt to it than they were to weibo, whose rapid rise from 2009 caught them by surprise.
