Hodson is one of nine new faces at Ibrox
Hodson, who already knew Gers boss Mark Warburton from their time together at Watford, became the club's eighth summer signing when he joined for an undisclosed fee at the start of July.
Warburton worked with Hodson at Watford
However, the 24-year-old revealed he was mulling over the move when he linked up with Northern Ireland ahead of Euro 2016.
Though his mind was all but made up at that stage, a chat with three former Rangers stars made his decision absolutely certain.
"To be fair, when I first heard there was a possibility of me coming here my mind was already made up and there was only one place I wanted to go.
"But they sat down and had a chat with me and told me everything I needed to know. Davo is a great captain for Northern Ireland and him speaking to me told me everything I needed to know."
Davis left Ibrox after the club's relegation to the fourth tier
As well as being teammates at international level, Davis and Lafferty played together at Ibrox between 2008 and 2012, with Carroll's brief spell in Glasgow ending shortly before the former's arrival from Aston Villa.
Lafferty, who spent the back end of last season on loan to Birmingham City, faces an uncertain future at parent club Norwich City after their relegation back to the Championship.
The striker recently admitted he would welcome a return to Ibrox, but is unsure how the fans would react (Scottish Sun).
Lafferty in action for Rangers