The Nerazzurri have won their last 10 away matches, surpassing the record set by Mancini's side of nine successive victories away from home in the 2006-07 season.
"I am pleased that Stramaccioni beat my record, because he is talented," said Mancini. "In the early months of the season he has proved that he works well and the results are backing him up.
"Andrea is a young and emerging coach, yet has already made Inter the revelation of the season so far. Few expected the Nerazzurri to start so well after all those changes in the transfer market.
"A lot of the credit goes to Stramaccioni, who gave the side an identity. I hope he can keep going along this path and shatter more records, but above all to be celebrating at the end of the season, because both he and Inter deserve it."
Inter are away at Atalanta in Serie A on Sunday evening.