The fourth-round draw has thrown up some intriguing fixtures, including Manchester United's first trip to Liverpool since Luis Suarez was banned for racially abusing Patrice Evra.
Saturday also sees Chelsea captain John Terry travel to QPR and possibly face Anton Ferdinand four days ahead of the court case in which he stands accused of racially abusing the Rangers defender, something he has always denied.
Horne has praised the clubs involved for their work in calling for calm and hopes the games will go off without a hitch.
"I think we want football to be played for the right reasons, for footballing reasons," he said.
"The messages from the chairmen of the clubs, the clubs themselves and the managers of the clubs to supporters are spot on.
"Let's focus on the football. That is what is important in any game of football, not just an FA Cup game."
The fourth round has captured the public's imagination and comes during a good time for the FA Cup.
The third round saw the highest average attendance in 31 years and the majority of clubs name their strongest line-up.
"We've seen teams, some very strong teams, take the third round very, very seriously," Horne said.
"I think that silverwave is still important and you saw how exciting it was for Manchester City to get some last year.
"There are foreign owners, club chairmen and fans who still want to see silverware, still want to see success.
"The FA Cup is a winnable competition so I think more and more teams are eyeing the FA Cup up both for silverware and financial return."
The true financial impact of the competition was revealed this week in a report by Deloitte's Sports Business Group, which shows participating clubs earned almost £650million over the past 10 years.
"When you look at that at individual club levels, there are a number of examples where very material cash income goes directly into clubs," Horne said.
"For example, when Burton secured a replay at Old Trafford they earned £700,000 in that year. That enabled them to pay off the debt on their stadium, invest in playing talent and ultimately progress into the Football League.
"Crawley last year earned £1.5million from the competition, including a £1million payday at Old Trafford.
"Havant and Waterlooville earned £600,000 from the competition progressing to the fourth round and facing Liverpool at Anfield, which represented 70 per cent of the club's income.
"But it is relevant at the upper echelons of the game as well and Stoke are a case study in point.
"They progressed to the sixth round and earned £2.5million in 2009-10 and then earned £3.5million from the competition by making the final and also securing a place in the Europa League.
"It is very relevant to the whole pyramid of football."