Johnsson made 13 saves over 120 minutes of action at the RheinEnergie Stadion in Cologne, a new record in the European competition.
Asked whether the Sweden international should be rewarded with a "big move" this summer, van Persie said: "I hope so for him, he really earned it.
"He made some proper saves. Not just balls going towards him, he put his body on the line and made great saves.
"The save from Martial was an unbelievable save with one hand."