"People will say it is good from my point of view that I scored my first goal for Stoke, but I came here to be part of a team that stays in the Premier League," said Beattie, who moved to the Britannia Stadium in a £3.5m deal from Sheffield United earlier this month.
"If my goals help to do that, then all the better, but I'd rather win 1-0 and someone else score."
Beattie insisted despite their Premier League travel sickness, the Stoke players remain positive about earning a second successive season in the top flight.
"I'm sure we'll win away this season and I wouldn't have come to Stoke if I didn't think they could stay up - that is the priority at the moment," stressed the 30-year-old former England international to The Sentinel, "The spirit of the lads is very, very good and we know it is going to be tough.
"We've only got a few games left to stay in the league, everyone knows what it is going to take and people are willing to do their fair share of work to achieve that."