If you follow the basic rule of reported/indirect Speech, whereby the tenses are shifted one stage back, the correct form is 'was'.
Direct speech: He said: 'My name is Jack'
Indirect speech: He said his name was Jack.
2014年12月3日
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He said his name was Jack. This is correct because: -You are referring to the phone call that occurred in the past -The sentence says "He SAID