Alan Curtis is happy for new Swansea head coach Francesco Guidolin to take sole control of the team.
Curtis temporarily succeeded Garry Monk in December before being named interim manager until the end of the season.
But Italian Guidolin was appointed head coach on Monday, and was in the crowd as the Swans beat Watford 1-0.
Curtis said: "You can't have joint managership - it's got to be one or the other - and I'm quite happy for Francesco to have that."
Former Swansea striker Curtis, 61, did not meet Guidolin before Monday's match, which Swansea won courtesy of an Ashley Williams goal.
"Obviously my concentration was on the game," said Curtis.
"I've always been quite happy if the club thought it was necessary to bring somebody in.
"If we'd have won more games, then I think there possibly might not have been a need."
Victory over Watford took Swansea out of the relegation zone, moving them one point and one place above Newcastle.
It was only their second win in 12 Premier League matches.
"It takes us out of the bottom three and psychologically that will give us a big lift," said Curtis.
"We got a little bit edgy in the second half - that's probably more the situation we find ourselves in.
"I thought the players were fantastic.
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"People have been talking about our demise for a while, but we showed the quality is still there."
Swansea took eight points from Curtis' seven league games in charge.
"It's been an experience. I've realised how tough it is," he said.
"I think the performances have been excellent and we probably haven't had the results those performances have warranted."