The Spaniard was frustrated with his side's inability to kill off the game in the first half after a Diego Lugano header rescued a point for Pepe Mel's men at the Hawthorns
Everton looked to be on the way to a win, and a top four spot in the Premier League when Kevin Mirallas put the team in front four minutes before the interval.
But the club's hopes were dashed in the 75th minute as West Brom defender Diego Lugano headed home his first Premier League goal, earning a point for new head coach Pepe Mel in his first game in charge.
The draw keeps Everton a point adrift of city rival Liverpool in fourth ahead of the Merseyside derby next Tuesday.
And Martinez was quick to express his dissatisfaction with his side for failing to kill the game off.
"Any point is a good point," the Everton manager told Sky Sports. "[But] we are disappointed with the second-half performance.
"The hardest thing in first half was to get the goal and we managed that.
"The second half I must admit the condition of the pitch didn't allow us to control the game in the way we wanted, to concede the goal in the manner that we did was unfortunate."
Midfielder Gareth Barry feels Everton will be in the mix for a place in the Champions League if Martinez's men maintain the strong from they produced earlier in the campaign.
"It was a fair result in the end," Barry said. "It's nine draws for us now and that's too many. But if we show the form that we showed at start of season then we'll be there or thereabouts."