In a game which saw Latics midfielder Ben Watson go off with a broken leg following a collision with Reds winger Raheem Sterling, which Martinez called 'an accident', the Spaniard was less than forgiving about what he considered a stamp from Suarez on Jones with no punishment.
"He was very fortunate because it was a stamp which the referee didn't see and that wasn't the sign of a top player," said the Latics boss following the 3-0 defeat at Anfield.
However, Martinez did praise the Uruguayan for his finishing which saw the much-maligned striker grab two goals before Jose Enrique added the third.
"The first finish is probably the real clinical one and a sign of a top player," he added.
"I thought we were the team who looked like being a real threat and I thought we stopped Liverpool completely.
"Unfortunately in the second half we suffered too much from the international fixtures.
"The first goal we gave it away - it was one of those days as nothing went our way.
"The second goal went in and the third goal came from a throw-in which should have been our ball. We attracted all sorts of bad decisions and bad luck."