King, from Bournemouth, was announced as an Everton player in the early hours of Tuesday morning, but Parker insists he is more than happy with his squad.
"(I'm) not really emotional (about missing out on King) because I think I realised the way that transfers work," Parker said.
"We were trying for both players and we got one and we've got a squad here now which I'm more than happy with.
"That's my fourth transfer window and I've realised that it's a lot of back and forth and a bit of disappointment until it's closed.
"There's an element that I like when it's closed because for four weeks you have the uncertainty, you have players in the squad - are they going to be there, are they not? But we know where we are now and we'll push on."
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