Moyes added: "We want everybody together to give West Ham the best chance, and if we are to start competing again and challenging some of the top teams in the future then we need everybody to be together".
Reid returned to the West Ham starting lineup after missing a match through illness.
When Egyptian global Salah gave Liverpool the lead after 40 minutes it was his 32nd goal of the season in all competitions and the seventh game in succession that he had found the net.
After braving the "Beast from the East" and travelling down to South Wales, the Hammers faithful were disappointed to see their side surrender all three points so meekly to a relegation rival.
"I can only say to the supporters that I will do everything to make sure we are ready for the next game and hopefully they're behind us when we get to the London Stadium next week".
Between the goals, West Ham lost defender Winston Reid, who was put in a neck brace and taken off on a stretcher after suffering what appeared to be a head injury in a goalmouth scramble.
The fourth official indicates ten mimutes injury time during the Premier League match at the Liberty Stadium, Swansea.
Iran sets up terms for missile talks
Last month, French President Emmanuel Macron said that "Iran should be monitored for its ballistic missiles programme". French foreign minister is scheduled to visit Iran next Monday to hold talks with senior Iranian officials.
'They were brilliant, they don't stop running, ' said Andy King, the on-loan Leicester midfielder who marked his first Swansea start with the third goal just after half-time.
Jordan Ayew sealed a comfortable win for Carlos Carvahal's men in the 63rd minute from 12-yards after Cheikhou Kouyate was adjudged to have tripped Andre Ayew by referee Martin Atkinson. This time Andre Ayew's header was saved by Adrian, but it fell nicely for King to stab the ball home.
The win lifts Swansea to 13th, with 30 points, above West Ham and Huddersfield Town on goal difference.
Just after the hour mark, Swansea made it 4-0 from the penalty spot.
West Ham did get their consolation goal in the 78th minute but that's all it was - a consolation.
West Ham entertain Burnley next Saturday and that game looks a vital one if they are not to slip further into the relegation mire.