The 20-year-old American forward has extended his stay at the Stadium of Light until 2019.
Everton are reportedly interested in signing Ashley Williams from Swansea City.
Liverpool were 4-0 winners in the Merseyside derby against Everton.
Everton were thrashed 4-0 at Anfield by Liverpool, and had a man sent off.
Carroll was on target once again as the Hammers brushed aside Watford on Wednesday.
Arsenal's poor season continued with more dropped points at home on Sunday, and Per Mertesacker says they need to stick together.
The Scottish Premiership leaders crashed out of the competition following a penalty shootout.
The ex-midfielder says the club is worse off than when it was last relegated as it is full of players who will not want to play in the Championship.
The Austria international captain used wordplay to create an eye-catching brand name.
Pundit Andy Walker has hailed Rangers star Barrie McKay.