"called to notify" is correct and can be used in written English.
You can use it when someone has contacted you with the purpose of delivering a certain piece of information. For example: "The officer called to notify me of the date of my court hearing."
The first she knew of his arrival in Britain was when Slovenian police, contacted via the Canadian high commission, called to notify her of his death.
At 4 p.m., the senators said in a statement, the C.I.A. called to notify them that Mr. Morell had erred, and that the agency had made the change, not the bureau.
However, after a week, L.A. Reid called to notify Milian that she had been dropped.
Maria says no one called to notify her that Tallcree had been released and might be on his way back to his community.
Whether the school called to notify us of the request for dietary reasons or because of the $10 charge we'd incur for a last minute food order, I am unsure.
Someone was calling to notify officials that California had just gone to a Stage 1 energy alert.
On Friday, the "discharge planner" calls to notify me that my young patient will be returning home that afternoon.
The man that answered knew it was me, and was calling to notify me of my admission to the University of California, San Diego.
If the athlete who is to be tested is not at those locations, the representative calls to notify him or her about the test.
Her main frustration: how little recognized her abilities are, whether by the insurers, who expect her to manage a patient with ten different health problems in a fifteen-minute visit, or by hospitals, which rarely call to notify her, let alone consult her, when a patient of hers is admitted.
If parents call to notify of early arrival, get everyone out of the house, and ask a couple buddies to stay and help finish cleaning.
