PARIS—French consumer confidence improved more than expected in September as households’ concerns about unemployment eased, a monthly survey showed on Tuesday. The INSEE official statistics agency said its consumer confidence index rose to 102 from 99 in August, hitting its highest level since June. The improvement brought confidence back to pre-pandemic levels and beat the average forecast of 100 in a Reuters poll of 15 economists. With the economy rebounding strongly as the coronavirus crisis subsides, households’ concerns about unemployment fell to their lowest level since February 2020, just before the outbreak began in France. The number of people registered as seeking work at unemployment agencies has fallen sharply since April, and the Labour Ministry said on Monday jobless claims dropped 51,100 in August to 3,308,700, just above the level seen before the crisis started.