The PSG attacker had been sidelined since February 25, when he fractured a metatarsal and sprained his ankle in a Ligue 1 match against Marseille.
Tite was left delighted on Sunday as Neymar made his return to football following a metatarsal injury, and the former Barcelona star exchanged shirts with a former rival in Luka Modric after the match ended.
Neymar injured the same foot playing for Paris Saint-Germain and underwent surgery in Brazil in early March.
Before Neymar's brilliant opener, Croatia might have struck first when Ante Rebic's header forced a fine save from Alisson.
And when Neymar gave Brazil the lead midway through the second-half, Croatia's attacking players did not have the game-changing quality they required to get back into the game.
He formed part of a potent three-man forward line that also featured Chelsea's Willian and Manchester City's Gabriel Jesus, who was named captain for the day, the 15th player to wear the armband under the reign of manager Tite.More news: Both sides preparing as if US-NKorea summit will happen
"He will have to go through stages - he is going to have his ups and downs but by the third, fourth or fifth game he will be back to his level".
Brazil have Neymar on the bench and he is expected to come on at half time.
The five-time World Cup champions play their last pre-World Cup friendly against Austria on June 10.
Brazil and Croatia are in Liverpool as they prepare for the World Cup later this month.