The Hammers produced a dour performance to beat Hull City 2-1 on Wednesday night and despite coming off the pitch as victors, were treated negatively by the Upton Park faithful.
As West Ham get set to play Sunderland on Monday night, Downing called for the fans to back Sam Allardyce's team who are currently eight points clear of the drop zone in 11th spot.
"We found it all a little bit strange, winning the game and getting booed off," said Downing.
"In this game it's all about results. It wasn't pretty but the big thing is we got the points because it moves us closer to safety.
"In the situation we're in the most important thing was to get the win, especially against a team that was in and around us.
"We just play effective football to get results. When I was at Liverpool we played nice football but we finished eighth.
"There's no point playing good football and getting relegated. I did that with Middlesbrough."
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