I feel some sympathy for Ranieri but i'm of the view they were likely to go down with Ranieri, so i can understand the decision. Sacking the manager is what clubs who think they're in relegation trouble do with 10-15 games to play. We've seen Sunderland do it more than once. In 2013, they sacked Martin O'Neil,then hired Paolo Di Canio who ended up keeping them up. In 2015, with relegation staring them in the face, they sacked Gus Poyet and brought in Dick Advocaat who kept them up. They might feel the need to fire Moyes in the hope of his successor keeping them up. Look at this season, we've seen Swansea sack Bob Bradley, hire Paul Clement and they've got a better chance of staying up now than with Bob Bradley. Hull seem more likely to stay up with Marco Silva than with Mike Phelan. Yes, Leicester won the league with Ranieri but they feel they have a better chance of staying up with somebody not named Claudio Ranieri at the helm. Let's see how that pans out.
The sentiment angle annoys me a bit. Do people honestly, genuinely think Leicester owe Ranieri the opportunity to finish the season knowing that could conceivably result in relegation even if they think a change in manager gives them a better chance to stay up? This is about Leicester doing what they think is in their best interests, not what the football world want them to do. For some clubs relegation is something they struggle to recover from. If Leeds are promoted they would have spent 13 years out of the Premier League, three of those years were in League One. This is a club that played in a Champions League semi final in 2001, relegated in 2004. Blackburn, out of the Premier League since 2012 are no closer to a return. The same can be said of Wigan relegated in 2013. I appreciate last season Hull and Burnely returned to the Premier League after one season out of it and Newcastle could very well do the same having spent just one season in the Championship after their previous relegation in 2009. That said, relegation from the Premier League carries no guarantee of an immediate return. Just ask Leeds United.