Di Canio told Sky Sports News: "The supporters are magnificent and it has been a privilege to be manager of the club for the last year-and-a-half.
"But I stand by what I said before our match with Crawley that I am thinking about what happens next.
"We do not have enough pedigree, mentality or nastiness and play less tippy-tappy. I am angry but these are best lads I have met in my life."
Swindon currently sit third in League One, having been held by bottom side Hartlepool United yesterday.