Ballardini took over from sacked Ivan Juric in November and has transformed their fortunes, but doesn't yet know if he'll be at Genoa next season.
“I don't need to convince anyone," he said.
"Genoa started out in one way, then we arrived and had to make our ideas work together with the characteristics of the players at our disposal."
Ballardini added: “Although Crotone were pushing hard for an equaliser, we still had several chances to add another goal and finish the game. I want to thank everyone in the squad, because they've all been very humble and happy to work for the team."