Two quick-fire goals from Walter Samuel and Diego Milito in the dying stages of the match have allowed the Nerazzurri to put an end to a nine-game winless streak and ease the pressure on Ranieri.
Italian sources have suggested that Inter are considering parting company with Ranieri, but the 60-year-old coach is not worried about his situation.
"[President Massimo] Moratti was happy and he congratulated us," Ranieri told Sky Sport Italia.
"The president has always given me his full support and I have a great rapport with him.
"I am calm and I think that the president is calm, too. I am doing my job with the utmost clarity."
However, the Italian coach confessed that Friday's victory was important, as he was spotted misty-eyed after Milito's goal.
"It means I care about these players, I am happy for them," Ranieri added. "We played really well and we deserved this victory after one month of abstinence.
"This result will surely boost our morale, it is a lifeline, and I am sure that San Siro will be full for the match against Olympique de Marseille.
"Our next goal is to reach the quarter-finals in the Champions League. We know how much this is important for us, the club and the fans.
"I have to thank the players for tonight's performance. They finally played like Inter."
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