West Brom boss Roy Hodgson thanked Liverpool fans for their warm reception as the former Reds boss marked his Anfield return with a famous 1-0 win.
Liverpool had 28 shots to their opponents' nine - but Peter Odemwingie struck to seal their first victory at Liverpool since 1967.
"I'm very pleased the Liverpool fans gave me a good reception and I thank them for that," Hodgson told BBC Sport.
"We rode our luck a lot of times but it was a fantastic rearguard action."
Hodgson managed Liverpool for just 191 days last season before he was sacked and replaced by Kenny Dalglish in January 2011 but his first return to the Anfield dugout was greeted by a round of applause from the Liverpool fans.
But Odemwingie capitalised on a Glen Johnson error to blast the winner past Pepe Reina after 75 minutes.
"I'm very proud of the team," said Hodgson. "It was nice that at this stage of the season we have the fight and determination in us to hang onto the result.
"It's not often that West Brom win here and although I accept that Liverpool were the better team, I have to be very happy that we have won it and that we have done it such a determined manner and shown so much spirit.
"For teams like us coming to Anfield if we are going to get a result there will be an element of luck involved.
"We weren't without our own efforts but on the balance of the game they had so many chances that Kenny and his team must be disappointed."
It was Liverpool's ninth defeat since the start of 2012. Liverpool have won just five of their 17 league games at Anfield this season, with only Aston Villa, Wigan, Bolton and relegated Wolves having a worse home record.
Dalglish said: "It's not the first time we've stood here and said exactly the same things.
"It has been the same theme, hitting the crossbar, people clearing it off the line, us missing chances or hitting our own players.
"The lads are playing well enough so I can't complain about their effort or spirit. It's difficult for them to take but it's great credit that it doesn't seem to be knocking them down.
"West Brom hung on in there and got the goal and that saw them through."
Liverpool captain Steven Gerrard was not included in the squad for the visit of West Brom, with Dalglish insisting his absence two weeks before the FA Cup final was merely as a precaution.