Would the line:
"Peter!" cried his father.
make grammatical sense? It seems to work intuitively, but I'm just not sure. It's also a tough question to google, as it turns out, so any reply would be much appreciated.
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Does the reader already know the father?
I'm not certain that matters, but i assume we do. In either case - Yes. You are introducing a character through another character.
This type of character introduction is similar to style #2 at the link.
The link provides an example of this type of introduction from Joseph Conrad's Heart of Darkness.