Doubts had been cast over the Italian's future at the County Ground after Jeremy Wray was replaced, with Wray having been instrumental in bringing the former West Ham star back to England.
Di Canio said he needed reassurances from the board that they were committed to his plans and suggested that they were no longer supporting his goal of back-to-back promotions.
But after the meeting, di Canio said: "The words that he said to me are more than positive.
"After we spent an hour together, even if I was angry from the game (against Scunthorpe), I was happy thinking about what he said to me about the future and about me.
"I can't wait. We have to think that from now we can work for the future.
"Some people can take the lines that I am only loyal to Jeremy; I am loyal to Jeremy but I am loyal to the project he proposed to me on the first day.
"The new chairman is committed and there is also the environment around me, which is the club and the fans.
"With Jeremy I can go out for dinner every day for the rest of my life and say thanks, but there is a job.
"I will keep going but I wanted to be sure. I said some words to make an alert, an alarm about what was going on."