The Brazilian was running ahead of highly rated teammate Fernando Alonso in Melbourne until the second round of pistops, when it was the Spaniard called in for service first.
"Felipe should not be at all happy," former Renault boss Flavio Briatore is quoted as saying by Italian media.
After the race, in which he finished fourth to Alonso's second, Massa told Spanish television Antena 3: "Of course you are not happy when you fight to win and you finish fourth.
"It was positive until the second stop. It seemed too early for Fernando but it was the right decision."
O Estado de S.Paulo newspaper quotes Massa as saying: "There is a degree of frustration, because I was not passed except in the pits."
And Spain's El Confidencial quotes him adding: "Yes I was upset when Fernando got ahead of me. That was the only problem of my race, where I lost two positions."