Johansson, who plays for AEK Athens, came off the bench after 57 minutes at the Friends Arena and scored the crucial goal four minutes later.
The 27-year-old's goal gives Sweden the advantage ahead of the all-important second leg in Milan on Monday.
According to the 'Daily Mail', Johansson is one of three players which Hodgson would like to bring to Selhurst Park to help pull Palace out of the relegation zone following a poor start to the season.
The Eagles remain rock-bottom of the Premier League after a defeat to Tottenham last weekend sees them six points adrift of safety, and four behind 19th placed Swansea.