The Portugal international revealed he is enjoying working for Hodgson and said the squad have a great respect for the manager.
Meireles told Liverpoolfc.tv: "I am enjoying playing for the manager a lot. He has everything to succeed at Liverpool.
"He is also a nice man because he always talks to us, he likes to know about our wellbeing and asks us about our family.
"Every day we are working hard in training and we all want to do well for the manager and get Liverpool back to the top as quickly as possible.
"He has some good ideas about how he wants us to play and I am confident things will turn around for the better.
"We have a good team. Sometimes in football things don't go the way you want, but we are working hard to put things right.
"It's a new team with a new coach and it sometimes takes time to get everything right.
"We have a lot of quality in this squad and some world-class players, so we have everything to get back to the top."