King raised eyebrows earlier in the week as he claimed the Ibrox club are "within tangible reach" of becoming the dominant force in Scottish football as he announced a five per cent rise in season ticket prices.
Old Firm rivals Celtic are on the cusp of an unprecedented domestic triple treble with an eighth successive Ladbrokes Premiership title all but secured as they sit 11 points clear of Steven Gerrard's side with five fixtures remaining.
Ahead of the trip to Easter Road on Sunday where Celtic could clinch the title against Hibernian if Rangers drop points to Hearts at Tynecastle on Saturday, Lennon, in his second spell in the Hoops dugout, was asked about King's statement.
"It's not for me to say," said the Northern Irishman. "Others can give their opinion on that.
"I can only speak on behalf of Celtic and since 2000 our record domestically has been pretty good.
"We have good people, good recruitment and a class board who keep their powder dry.
"We don't talk ourselves up, we just try and maintain our standards over the past few years or so.
"It's fantastic to have that support. I've worked with high-class people whether in business or football.
"I've been very fortunate and they give you great advice if and when it's needed."