Experienced boss Lucescu, 71, told Dolce Sport: “Mourinho is an amazing guy, but my way of understanding football is totally different because I have an offensive mentality.
“All my teams have broken records for goals. Mourinho seems more arrogant than Guardiola but it is exactly the opposite.
“Either way, both are great coaches.”
City beat United 2-1 at Old Trafford in September, with Guardiola’s side currently top of the Premier League table, five points above rivals United.
The Manchester pair next meet in the fourth round of the EFL Cup on Oct. 26.