Chelsea boss Conte was reportedly battling dressing room unrest and was under pressure from the club's board after three defeats in the first nine games of their title defence.
However, the Bournemouth boss says he is shocked at football's sack culture and maintains that if Conte faces an uncertain future, then ever Premier League manager's job must be on the line.
Before their clash at the Vitality Stadium on Saturday, Howe spoke about the rumours that Conte's future at Chelsea was uncertain.
"Well if that's the case we've all got problems," he said.
"I don't know where we go from there. That just defies belief really that someone who has done such a fine job at Chelsea can even be talked of in that way.
"But that's the modern way it seems, that's the way the game's gone.
"I don't like to see managers sacked. It makes the profession very delicately poised, at all times.
"'When you're on a losing run there are always questions about your future. I don't think it's good for the profession."
How was full of praise for his Italian counterpart passion and tactical nous.
"I find him a really enthralling character, someone who is very passionate, he's as passionate away from the touchline," Howe added.
"It's fascinating to talk football with him for a period of time.
"I think he's brought a great deal to the Premier League, he's played a massive part of that three-at-the-back revolution.
"He's brought a lot of passion and drive to the touchline. He's intriguing to watch tactically, and with how he motivates his team."