The Hammers, who lost on Monday night to a last-gasp Gareth Bale strike in the 3-2 defeat by Tottenham, are looking to bounce back from that disappointment.
But Sam Allardyce's men have just eight points from 13 away games all season and have lost their last five on the road in the Premier League.
And McDonald, who assumed pre-match media duties in the absence of Allardyce, knows the visitors will have to be switched on throughout the game.
"It's a stern test," said McDonald. "I think they're very well organised. They're quite direct with the way they play, into the forwards, then knocking it down and getting it wide.
"We have to deal with crosses, we have to deal with knock-downs as well. Hopefully with our game and our game plan we can give them a little bit of a test as well.
"We're looking forward to the game and we're trying to put right what we haven't done over the last four or five away games."
Stoke have one win in five matches and McDonald hopes the Hammers can extend the hosts' poor run, having pushed high-flying Tottenham close on Monday night only for Gareth Bale to score twice to seal a 3-2 victory for his side at Upton Park.
McDonald added: "You always have to take something positive. Apart from Gareth Bale on Monday scoring two goals we've acquitted ourselves really well against a top-four team.
"If we do that away from home, we've got every chance of getting a result."