Cresswell scored a beauty of a free-kick against Stoke City last season and had made a habit of regularly testing the goalkeeper from dead balls.
Payet showed his prowess from those situations by netting at Southend in his first friendly appearance since arriving from Marseille and Cresswell reckons they can both be a threat from their respective sides.
He said: "I think there'll be a bit of competition for the free kicks now! Hopefully he can take the right sided ones and I can have the left sided ones.
"Since Dimitri arrived in Ireland he has looked some player. I wasn't there on Saturday, but the boys have been talking about how good he was and how good a signing he looks to be for us.
"It's one we're excited about out, and the fans are too."
Cresswell played his second 90 minutes of pre-season in last week's 1-0 victory over Birkirkara in the first leg of their UEFA Europa League second qualifying round tie and he is ready for the challenge presented by the Maltese side this Thursday.
He added: "We're confident going over there, but we know it's not going to be easy at the same time, especially travelling over there in different surroundings.
"You'd imagine they'd have a different approach for the second leg, obviously being 1-0 down.
"They are the home team, but we'll go there, play the same game and try to get through to the next round."
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