'phoned me at' is a correct and usable part of a sentence in written English.
For example, "She phoned me at 8 pm to check if I was available for dinner."
He phoned me at four in the morning.
He phoned me at the end of the first day.
Late one February night in 1966, Mrs. O'Neill phoned me at my apartment in New York.
Last Tuesday she phoned me at home, and, with barely any preamble, came right out with them.
"He phoned me at 3.10pm today saying 'can I have a cup of tea tonight?' because he was coming to the game," revealed Alex Ferguson.
Breathless and upset, she phoned me at work to say that 11-year-old Lulu had been "out of control" for several hours that morning, yelling, crumpling papers, saying rude things and, eventually, running out of the building.
"Then he phones me at half past four and says 'I've been sacked'.
"Why are you phoning me at three in the morning to tell me that?" she wondered, unamused.
"It was, Who the hell is phoning me at this time in the morning, initially," Boudreau said.
The GP has even taken the trouble to phone me at home in the evening to discuss blood test results.
Carol agreed to sit with me for the first day and then, if she thought I was safe by myself, she would look by or phone me at intervals, calling in outside help if she judged it necessary.
