The special show debuted on Netflix on Friday, June 10.
Saget was found dead in his hotel room at the Ritz-Carlton in Orlando, Florida on January 9 and his death sent shockwaves across Hollywood.
Stamos, 58, tweeted: "I am broken. I am gutted. I am in complete and utter shock. I will never ever have another friend like him. I love you so much Bobby."
The actor went on to address mourners at Saget's funeral and his heartfelt speech was published by the Los Angeles Times.
It read in part: "The worldwide ocean of love for him has been unbelievable. Though it's been hard for me to look at the tributes, stories, magazine covers, millions of social media posts, I feel everyone out there is getting it right, saying the perfect thing, remembering Bob in these remarkable ways.
"I just wish he knew how much the world loved him when he was here. I spent many a night trying to convince him of how loved he really was (or maybe it was the other way around - him trying to convince me how loved he was). But that was just Bob bluster.
"There's no way he thought his death would have this kind of impact. This is the kind of coverage that speaks to someone who genuinely connected with people, and not just for a moment, but for generations."