Queens Park Rangers have placed Les Ferdinand in charge of first-team affairs until they appoint a new manager.
Redknapp resigned as the R's manager earlier today due to upcoming knee surgery, but the news that Ferdinand will take over on a temporary basis has shocked Carragher the most.
Ferdinand has no prior managerial experience and considering Hoddle is in the backroom staff at Loftus Road, he looked the more obvious choice to takeover, according to Carragher.
"Harry Redknapp has resigned from QPR today & it remains doubtful if we will see him again in the dugout," the former Liverpool defender said.
"He seemed certain for the England job a 2/3 years ago so it just shows how precarious football management is, but the big surprise for me is that Les Ferdinand will take the reins & not Glenn Hoddle considering his experience but I wish Sir Les all the best in the fight to keep QPR up!"
Ferdinand will take over on a temporary basis until the R's appoint a permanent manager to help guide them to safety.
At the moment Tim Sherwood, who Ferdinand has previously worked with at Tottenham Hotspur, is the favourite to land the managerial job at Loftus Road, but it is a decision which Tony Fernandes will need to think through thoroughly.
The R's simply cannot afford to get the decision over their next manager wrong, with the side currently stuck in the relegation zone.
QPR are in 19th spot in the Premier League and will need to show considerable improvement, especially away from home, under the new manager's guidance if they are to stay up.