The daughter of the AC Milan owner says the new coach has been charged with a top three finish, while Adriano Galliani praised his boundless enthusiasm
Massimiliano Allegri was in charge at the start of 2013-14, having guided the Rossoneri to third the campaign before, but he was sacked in January with the club mired in mid-table.
Former player Clarence Seedorf was drafted in but the senior figures at San Siro appeared to lose faith in the Dutchman and Inzaghi replaced him on Monday after weeks of speculation regarding the Milan hotseat.
Barbara Berlusconi, daughter of Milan owner Silvio and a board member at the club, wants Milan to vastly improve on their eighth-place finish under Allegri and then Seedorf's tutelage.
"We have met with Inzaghi to discuss the targets for next season," she told the club's official website.
"We are working well and he is very enthusiastic. We want to return to the Champions League next season."
Milan CEO Adriano Galliani also praised the 40-year-old Rossoneri trainer's passion for the job and promised to help him ahead of the new season by bolstering the team in the summer.
"Every time I have lunch or dinner with Inzaghi, he... has a contagious enthusiasm," he told reporters.
"There is one month until the transfer window kicks into gear, we'll give him the most competitive squad possible."