The Portuguese midfielder cannot play for his new side until the new year after the paperwork for his £22m move was filed 14 seconds after the closure of the August's transfer deadline.
Leicester appealed to FIFA to allow the player to play but their requests fell on deaf ears and the appeal was rejected, leaving both Silva and Leicester frustrated.
Silva was intended to be a replacement for Chelsea-bound Danny Drinkwater, but Leicester failed to get the deal over the line.
Speaking to Portuguese broadcaster 'RTP', Silva voiced his discontent, saying: 'I had a lot of desire to talk about the injustice.
'I was disgusted by this, but people calmed me, they advised me that I had to let go of a painful time to express myself in a calmer, less aggressive way. It was the best decision.
'The negotiations for my transfer to Leicester were very difficult. I had to make a lot of concessions to Sporting, I will not talk about them, it's between me and the club, but I want to make it clear that I had to give up things so that negotiations could go on.
'I cannot hide that it was a big disappointment. I felt a great disillusionment with everything that happened, which I was not responsible for, but I am the big loser. It is not a short time without playing.'
The decision to prevent Silva from playing has put his place in the Portugal squad for next summer's World Cup under threat, with the 28-year-old having been dropped from the European Champions' most recent squad.
'The talks were very late, on the last day of the market, because Leicester were selling a player, Drinkwater to Chelsea, and as long as that transfer did not materialise, mine could not be closed,' said Silva.
'Fernando Santos (Portugal boss) told me to be calm and to prepare for the best when I get to January. If I'm thinking about going to the World Cup?
'It's something that is in my head all the time and I'm going to work so that I'm in the best condition when the time comes for the World Cup.'