"Every time England do well the ECB pat themselves on the back, the game says 'well done' and we are all very proud about it," Clifford told
BBC Radio Kent.
"As soon as England go through a sticky patch, county cricket is often pointed out as being the cause or to blame for that. It is no surprise it has taken a matter of weeks to look at the county game.
"We got to number one in the world and we had three consecutive Ashes series wins. We did that with 18 counties. I am not sure there is a link between the number of counties and the success or failure at Test level.
"If anything I would argue the more counties there are, the more coverage we have in terms of identifying potential Test cricketers and developing them ready for that next level."
Sussex, formed in 1839, and Kent, formed in 1842, are two of the oldest county clubs in England. Both contested the inaugural County Championship in 1890.
Kent have won the title six times in their history, sharing the trophy on one other occasion, while Sussex have won the title three times, all in the 2000s.
"People have supported this club for many, many years and are emotionally linked to the county club set-up," Toumazi said.
"To tell them 'By the way we were established in 1839 but now we are going to merge with another county' hasn't really been thought through.
"I don't believe it is [the answer]."
Clifford added: "We are a county, I would argue, that deserves a county cricket club.
"Never mind whether we ought to have one because of what we might contribute to team England."
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