The ability to acclimatize is an adaptation, but not the acclimatization itself.
From the en.wikipedia.org
First, climbers have to acclimatize to the extreme altitudes in which they climb.
From the post-gazette.com
Give them the chance to acclimatize in a protected location for a week or so.
From the washingtonpost.com
Another myth is that you have to acclimatize to cold, just as you do to heat.
From the nytimes.com
He spent the last three weeks on the Greek island of Crete to acclimatize.
From the usatoday.com
That helped acclimatize me, and I think that's the word you have to use.
From the ocregister.com
The idea is to acclimatize to the new time zone as quickly as possible.
From the edition.cnn.com
It was something she'd have to climb several times just to acclimatize.
From the ocregister.com
But, it is a great help when you acclimatize your dog to new elements.
From the suntimes.com
More examples
Get used to a certain climate; "They never acclimatized in Egypt"
(acclimatization) adaptation to a new climate (a new temperature or altitude or environment)
Acclimatization or acclimation is the process of an individual organism adjusting to change in its environment, allowing it to survive changes in temperature, water and food availability, other stresses and often relates to seasonal weather changes. ...
To get used to a new climate; To make used to a new climate or one that is different from that which is natural; to inure or habituate to other circumstances; to adapt to the peculiarities of a foreign or strange climate
(Acclimatization) The process of becoming accustomed to new conditions (i.e., heat).
(acclimatization) The adaptation of a living organism (plant, animal or micro-organism) to a changed environment that subjects it to physiological stress. Acclimatization should not be confused with adaptation (q.v.). cf acquired.
(Acclimatization) Storing flooring on site to adjust to local humidity levels, which helps prevent future shrinking, swelling, or buckling; especially important with wood floors.
(Acclimatization) The gradual adjustment of the body to new climatic or other environmental conditions, for example, the adjustment to low levels of oxygen at high altitudes.
(Acclimatization) means temporary adaptation of the body to work in the heat that occurs gradually when a person is exposed to it. Acclimatization peaks in most people within four to fourteen days of regular work for at least two hours per day in the heat.