Mark Warburton has already brought five new players to Ibrox this summer.
Rangers are currently planning for their return to the Scottish Premiership next season, having secured the Scottish Championship title last season.
They would have found themselves playing in Europe too had they managed to beat Hibernian in the Scottish Cup final.
They lost that game, but nonetheless are hoping to be back playing European football sooner rather than later as they continue their return to their former glories.
And King has said that Rangers' future transfer plans will be to add players that have that level of experience already.
“It is unrealistic in the present “moneyed” world of European football to expect any club from the smaller countries to win European trophies,” he told rangers.co.uk.
“It is nevertheless important that we give a good account of ourselves. It will therefore be necessary to acquire players with European experience in advance of our return to European competition.”
For now, attention turns to what work Rangers do in the remainder of this summer transfer window.
Manager Mark Warburton has already been very busy, bringing the likes of Joey Barton, Clint Hill, Jordan Rossiter, Matt Crooks and Josh Windass to Ibrox.
Those signings have all been warmly welcomed by the club’s fans and it will be interesting to see if the Gers target further signings of a similar ilk.