The Welshman is The Toffees' record holder for consecutive league appearances with his run of 212 games, and revealed that he used to complain if the boss ever tried to rest him.
With Howard now approaching that record, having started the last 189 league matches, Southall explained that being dropped for cup games can do more harm than good.
He told the Liverpool Echo: "I hated missing games. I used to have a row with Colin Harvey and Howard Kendall if they ever wanted to leave me out, because you'd lose a bit of momentum. I liked to stay in the zone.
"When I looked at the game against Leeds on TV I was looking to see if it was Tim playing, then thinking: 'Why have they left him out?' It's pointless. Outfield players I can understand, but once a goalkeeper gets in that groove you want to leave him in there.
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Southall expressed his admiration for the improvements to Howard's game since joing the club from Manchester United five years ago, but also stated that he could still work on certain aspects of his game.
"Tim's a good goalkeeper," he added. "His distribution could be better. Sometimes he kicks it too high and too far, which is okay when you've got Fellaini on the end of it but not always, but other than that he's a very good keeper.
"I think he's done well and he's improved since he's been at the club."
For his part, Howard is enjoying every minute of his time at Goodison, and believes that their excellent team spirit will ensure that the disappointment at Elland Road will not derail their challenge for a European place this season.
"We have a limited budget compared to everyone else so competing is tough, but I believe we can earn a Champions League place if we can put together a run like we did from Christmas to the end of last season," Howard said. "That is what we will deem a success, and our consistency will be key.
"This is such a hardworking, no-nonsense team, as blue-collar as it comes.
"Everyone respects us. Supporters of other clubs always tell me they cheer for Everton when their team is not playing.
"I can say this hand on heart: You will not find a more committed bunch of guys in Europe.
"There is no arrogance like at other clubs I have belonged to. Here, there are zero egos. You simply won't find that anywhere else. We all really love playing for this team."