The signing of a player on the Sex Offenders Register has been controversial to say the least and has divided the City support.
Some City fans are staying away, others are going but not supporting the club in the buying of merchandise etc, whilst others don't care as long as King gets the goals that City badly need.
Speaking to the CT and BBC Coventry & Warwickshire after Saturday's 2-1 defeat against Preston North End, Boothroyd, who is seen by some as making his own position untenable if King were to screw up this latest chance, said: "When you make a controversial singing, people will have their own opinions and they can be very vociferous about them.
"I'm not disrespecting anybody's views. But I made that decision with the backing of the Chairman and everybody concerned at the club, and I think Marlon will continue to get that sort of reception because the vast majority of the people of Coventry are very fair and understanding.
"They want their team to win and they're ready to give the bloke a chance - and I think that's all anyone can ask.
"I know the player and I know the person and he will be a very good signing - there will come a time when the Ricoh Arena is a difficult place to get in because we are doing so well and Marlon will be a part of that.
"He's very focused and very much looking forward to playing a key part in what we're building here."