Son has hit a purple patch for Mauricio Pochettino's side in recent weeks, scoring eight goals in his last six appearances in all competitions.
The 24-year-old's tally for the season now stands at 19 - the same total Cha achieved for Bayer Leverkusen back in 1985/86.
Cha's historic campaign remains the most prolific from a South Korean player in European football and the former attacker, who is the most capped player in his nation's history, hopes Son will eclipse his achievement.
“I’m glad my record from 31 years ago is receiving a lot of attention again,” Cha told Korea Joongang Daily.
“But I want Heung-min and other Korean football players to continue to surpass my records.
“Son’s style of aggressive play with fast feet is very similar to mine during my prime in Germany.”
Cha won the Uefa Cup twice during his spell in European football, treading a path few Asian players had experienced before him.
And the 63-year-old is convinced much more than talent is required to be a success.
“The European league was an unknown world to me. You definitely need talent, but with talent, you need to put in a lot of effort.
"In addition to that, you need the ability to adapt to new environment and be able to play in different formations.”
Son has shown such traits in abundance this season, despite coming close to leaving White Hart Lane last summer.
The forward has established himelf as a key member of Pochettino's frontline and could break Cha's record in Saturday's FA Cup semi-final against Chelsea at Wembley.