Marlon Pack admitted to a feeling of frustration after Pompey had to settle for a point at Bloomfield Road.
They were held to a goalless draw by a Blackpool side who had Jordan Rhodes harshly dismissed late in the first half.
The Blues looked to make the most of their numerical advantage and hit the woodwork on three occasions.
A goal was not forthcoming, however, and Pack was disappointed that the visitors could not make their pressure count.
Pompey’s skipper said: “Before the game a point doesn’t look a bad result, but in the circumstances, we’re kicking ourselves a little bit.
“They had 10 men for 50 minutes or so and it feels like a missed opportunity – we hit the post three times and were an inch away from getting that winning goal.
"Before the game a point doesn’t look a bad result, but in the circumstances, we’re kicking ourselves a little bit."
“We’d started to take a grip on things just before the red card and looked like the side I know we’re capable of.
“We were a bit sloppy before that and let ourselves down, but it actually becomes harder when they go down to 10 men.
“Blackpool’s game-plan takes care of itself and you have to break down a team with 10 men behind the ball, playing a low block.
“So you need to be patient, which we were at times. When we did show some penetration, we created a few chances.”
Callum Lang and Jack Sparkes both went off in the second half, with Connor Ogilvie having also joined the injury list.
Pack said: “It’s how it’s been all season, but it galvanises us and I think you’ve seen how together we’ve been all season.
“There’s a real alignment throughout the club and although it’s not ideal, I’m sure we’ll cope and deal with it.”
