Swansea were unhappy that play was not stopped to allow Fulton to receive treatment, with Allen protesting in front of the Preston dugout before being shoved by Lowe.
The former Wales midfielder reacted by barging into Lowe before numerous others got involved in an incident which seems certain to be looked at by the Football Association (FA).
“I’m really disappointed with how the night ends [for Allen] because all he was doing was trying to get the attention of the fourth official,” added Martin.
“The game probably should have been stopped, Jay Fulton takes a head injury.
“The game should be stopped, but it isn’t. Ryan pushes Joe and after that it’s carnage. If that doesn’t happen I don’t think any of it happens.
“I think he has done a great job there, as he did at Plymouth, so I am not going to judge him on that action because it’s a pressured environment.
“It’s so different, it’s so difficult – it is what it is.”
Martin defended Allen, adding: “I totally understand Joe’s reaction to it. You don’t expect that from a manager.
“He didn’t provoke it, but his reaction probably merits that [red card]. He’s apologised, but he doesn’t need to.
“He’s just showing care for his team-mate. He reacts because he’s a winner.”
