The Hammers were twice pegged back by Manuel Pellegrini's side and their superstar striker Sergio Aguero at Upton Park on Saturday night.
Enner Valencia struck within the first minute to shock City into life and Aguero won and converted a penalty eight minutes later for 1-1.
Valencia struck again when he reacted quickest to a quick-thinking long throw from Antonio in the second half but Aguero popped up to pounce on a mistake in the Hammers defence with 10 minutes to left to ensure it ended honours even.
Slaven Bilic's side emerged from the thrilling game, which was broadcast live on Sky Sports, with a lot of credit, though.
The Hammers are sixth in the Premier League with 16 games remaining of this most open of seasons.
And the powerful winger feels the result, and the way West Ham played, sends out a strong message.
"Yesterday once again proved we can compete at the very top of the Premier League," Antonio said on Twitter.
Antonio was one of West Ham's best players against City and many fans felt Bilic made a mistake substituting him for on loan winger Victor Moses with the hosts leading 2-1 in the second half.
The hardworking former Sheffield Wednesday wideman was a constant threat on the break for West Ham but also put in his usual graft in tracking back and helping his teammates.
One such moment received a standing ovation from the Hammers faithful as Antonio chased jet heeled Aguero down the win, caught him, outmuscled him, took the ball away and launched an attack of his own.
Right to be confident
Antonio is right to be confident too, West Ham have proved this season they are no flash in the plan and have only lost once in their last 10 games in all competitions.
How high they can finish will depend largely on how quickly they can get injured trio Manuel Lanzini, Diafra Sakho and Andy Carroll back fit with the trip due back in action in February.
The Hammers will need to win at least another eight or nine games if they are to challenge for one of the Champions League spots, or average around two points per game.