Perisic has joined the Bavarians on season-long loan after completing his medical, with Bayern having the option to buy after his spell with the side.
The former Borussia Dortmund player was eager to depart the San Siro last season but saw his effort fruitless as no deal was struck between Inter and any other club.
But with Bayern looking for replacements for their departed veterans Arjen Robben and Franck Ribery, the reigning German champions turned to Perisic after their prime target Leroy Sane got injured.
“I am very happy to be back in Germany. Bayern is one of the biggest clubs in Europe. We want to compete not only in the Bundesliga and in the DFB Cup, but also in the Champions League"
Having missed out on the acquisition of Sane, Bayern who are considering to augment their squad will still look to add up to their squad as both Philippe Coutinho and Marc Roca have all been linked with the German giants.
Featuring thirty-four times for Inter Milan, Perisic recorded 8 goals and three assists in the Serie A last season.
The 30-year-old Croatian forward will be available for selection when Bayern begin their new Bundesliga season with a game against Hertha Berlin at the Allianz Arena on August 16.
The pacey winger was an integral figure when Croatia reached the 2018 World Cup final in Russia, losing 4-2 to France at the Luzhniki Stadium in Moscow.