The Welshman was captain for the Bluebirds in his first spell for the club in the 2010-11 season, scoring 11 goals as Cardiff were knocked out in the play-offs.
And current skipper Hudson has fond memories of that time, and believes Bellamy returning would be a massive boost to the Welsh club.
“He's an international and he's been at the top level for a long time," Hudson told BBC Sport.
"He'll try and lead us with his experience and the knowledge that he's got of the game to get to that next level," added Hudson, who joined Cardiff from Charlton Athletic in 2009.
"The ambition of the club to bring someone like him in matches everyone that's playing in the Cardiff shirt at the moment.
"He's been to the Olympics and he's been captain of the team. To have that experience can only help us."
The Liverpool striker has been strongly linked with a move back to his hometown club this week and, despite interest from QPR, it is believed Bellamy’s preferred destination is the Championship club.
Cardiff manager Malky Mackay has revealed he is in "advanced talks" with Liverpool and Bellamy over a transfer, and has expressed his admiration for the player he is keen to bring to the Cardiff City stadium.
"We've known each other our whole careers," said Mackay.
"We were together a long time ago at Norwich City.
"He's a proud lad from the area and he's a top player, a top talent."