"I am really delighted", Moore told the Premier League's official website. "It's been a wonderful joint-effort by everybody here."We've just brought some unity here and it's helped the players put the performances together on the pitch".
Swansea are three points adrift and can only realistically catch Huddersfield on Sunday.
Alan Pardew was named permanent manager but his arrival failed to deliver the improvement needed to guide the side away from relegation. This situation draws parallels with a club in Germany two seasons ago when Hoffenheim were in a similarly desperate position to the one West Brom found themselves in, albeit earlier in the season.
With five games under his belt, Moore has taken 11 points from a possible 15, including wins against Manchester United and Spurs and a come from behind draw at home to Liverpool.
Moore said he would not be watching the game as it was out of his control and revealed he will speak to the West Brom chairman and board of directors about his long-term future after their final game of the season against Crystal Palace on Sunday.
Defender Gibbs tweeted on Tuesday evening: "Horrible feeling to be relegated, especially after our recent form as a team!"
Gabbiadini had only been on the pitch for four minutes and it was only his fifth goal of a hard season for the Italian.
"For that we are sorry to the W.B.A fans who have been quite unbelievable considering the circumstances".
Supporters will hope the club can bounce back to the top flight at the first attempt next season.
Information from the Press Association was used in this report.