The original film saw the veteran actor taking on the role of a man out to avenge his parents' deaths.
He wrote on his blog: "While on set I learnt that Zanjeer II was being shot on an adjoining floor and that Charan the hero and its maker Apoorva Lakhia wanted to visit me.
"Charan is a very successful star in his own right in Telugu cinema, he is the son of superstar Chiranjeevi, a dear friend. I met them and wished them well. The producer is [original director] Prakash Mehra's son Amit. The rights belong to Mehra and they have the right to make or remake what they like.
"I worked as an artist in the film and got my remuneration for it. Over! Seeking my opinion would be incorrect. For this I can only give my very best wishes. I do hope they will make a successful film.
"It is a compliment to the film being remade it was worthy of remaking when you had a hand in making the original. How many films do carry the benefit of a remake, is what needs to be appreciated also."
Bachchan admitted last month that he found it strange to be in front of a film camera again after his abdominal surgery.
The Bollywood legend was operated on for an injury he had first sustained on the set of his 1983 film Coolie.