Hodgson was tasked with saving the Eagles from their nightmare start to the season when he was appointed manager in September.
The former England boss replaced Frank de Boer, who was sacked after the team lost his first four league games in charge without scoring a goal – the worst start made by any club in Premier League history.
It took time, but Hodgson has got Palace back on track since taking over at Selhurst Park.
After another three defeats without scoring – against Southampton, Man United and Man City – they netted their first Premier League goals of the season when they beat Chelsea 2-1 at home in October.
They have since collected ten points from their last eight games and are now just three points away from climbing out of the bottom-three.
And Hodgson is confident the team have turned a corner and will be safe from the threat of relegation come the end of the season.
“It’s very pleasing the way things have gone over the last eight games,” Hodgson said in an exclusive interview with talkSPORT host Jim White.
“When you’ve taken zero points from seven games and not even scored a goal, you have shot yourself if the foot to an incredible degree and it was going to take a bit of recovery.
“We’ve done well at home, where we benefit from the incredible support we get, and away from home, we haven’t been far away from victories there as well. It’s not as if our away games have been backs-to-the-wall events, it’s just been unfortunate that we haven’t taken the chances we’ve created.
“I’m not spectacularly concerned about that because I think we’ve got firepower in the team and also we’re quite a good counter attacking team because we have pace upfront. So I hope that won’t be something that will last for too much longer.
“If we can carry on how we’re doing at the moment, getting ten points from our last eight games, that is a reasonable return for us I think and if we can continue along those lines everything will be hunky-dory.”
Hodgson also revealed that he hopes to be granted transfer funds in January to strengthen his squad, and is eyeing ‘two or three players’ ahead of the transfer window.
“It will be nice to think that the owners of the club realise how difficult out situation is and help us out with two or three players,” added the Eagles boss.
“At the moment, sometimes on the bench we don’t have the right type of players we might need to change a game for us, and we think those signings will be quite important to not only make us a better team, but also rebalance the squad and make us a stronger squad of players.”
The Crystal Palace manager also discussed Ruben Loftus-Cheek’s form since arriving on loan from Chelsea – hear that and much more in Jim White’s full interview with Roy Hodgson above!