West Ham will take on Palace at the London Stadium in the Premier League on Saturday afternoon.
Owen believes that England international striker Carroll will score for the Hammers in the London derby in a few hours’ time.
“These are worrying times for both clubs with West Ham boss Slaven Bilic visibly angry at his pre-match press conference on Thursday when he announced that Dimitri Payet had expressed his desire to leave the club,” Owen wrote on Betvictor.com.
“The Hammers won the reverse fixture at Selhurst Park and they need their big players to stand up and be counted – there is none bigger than Andy Carroll and I hope he finds the back of the Eagles net.”
A footnote added: “Michael’s recommendation: Andy Carroll to score at anytime at 15/8.”
Carroll has scored two goals and created six chances in eight Premier League appearances for West Ham so far this season.
The former Newcastle United and Liverpool striker has struggled with injury problems during his time at West Ham, and he is now fully fit.
West Ham are 13th in the Premier League table at the moment with 22 points from 20 matches.
Meanwhile, Palace currently find themselves 17th in the standings with only 16 points from 20 games, just a point above the relegation zone.
West Ham have suffered four league defeats at home this season, one more than the whole of the 2015-16 campaign, according to BBC Sport.