Here you go, CS.23 issue 4 (FAR-23 should be pretty similar)...
CS 23.67 Climb: one-engine-inoperative
(a) For normal, utility and aerobatic category
reciprocating engine-powered aeroplanes of
2 722kg (6 000 lb) or less maximum weight the
following apply:
(1) Each aeroplane with a VSO of more than
113 km/h (61 knots) must be able to maintain a
steady climb gradient of at least 1·5% at a
pressure altitude of 1524 m (5 000 ft) with –
(i) The critical engine -inoperative
and its propeller in the
minimum drag position;
(ii) The remaining engine at not
more than maximum continuous power;
(iii) The landing gear retracted;
(iv) The wing flaps retracted; and
(v) A climb speed not less than
1·2 VS1.
(2) For each aeroplane with a VSO of
113 km/h (61 knots) or less, the steady gradient
of climb or descent at a pressure altitude of
1524 m (5 000 ft) must be determined with –
(i) The critical engine inoperative
and its propeller in the
minimum drag position;
(ii) The remaining engine at not
more than maximum continuous power;
(iii) The landing gear retracted;
(iv) The wing flaps retracted; and
(v) A climb speed not less than
1·2 VS1.
(b) For normal, utility and aerobatic category
reciprocating engine-powered aeroplanes of more
than 2 722 kg (6 000 lb) maximum weight and
turbine engine-powered aeroplanes in the normal,
utility and aerobatic category –
(1) The steady gradient of climb at an
altitude of 122 m (400 ft) above the take-off
surface must be measurably positive with –
(i) The critical engine inoperative
and its propeller in the
minimum drag position;
(ii) The remaining engine at takeoff
power;
(iii) The landing gear retracted;
(iv) The wing flaps in the take-off
position(s); and
(v) A climb speed equal to that
achieved at 15 m (50 ft) in the
demonstration of CS 23.53.
(2) The steady gradient of climb must not be
less than 0·75% at an altitude of 457 m (1 500 ft)
above the take-off or landing surface, as
appropriate with –
inoperative
and its propeller in the
minimum drag position;
(ii) The remaining engine at not
more than maximum continuous power;
(iii) The landing gear retracted;
(iv) The wing flaps retracted; and
(v) A climb speed not less than
1·2 VS1.
(c) For commuter category aeroplanes, the
following apply:
(1) Take-off: landing gear extended.
The steady gradient of climb at the altitude of
the take-off surface must be measurably
positive with –
(i) The critical engine inoperative
and its propeller in the position it rapidly
and automatically assumes;
(ii) The remaining engine at takeoff
power;
(iii) The landing gear extended, all
landing gear doors open;
(iv) The wing flaps in the take-off
position(s);
(v) The wings level; and
(vi) A climb speed equal to V2.
(2) Take-off: landing gear retracted.
The steady gradient of climb at an altitude of
122 m (400 ft) above the take-off surface must
be not less than 2·0% with –
(i) The critical engine inoperative
and its propeller in the position it rapidly
and automatically assumes;
(ii) The remaining engine at takeoff
power;
(iii) The landing gear retracted;
(iv) The wing flaps in the take-off
position(s); and
(v) A climb speed equal to V2.
(3) En-route. The steady gradient of
climb at an altitude of 457 m (1 500 ft) above
the take-off or landing surface, as appropriate,
must be not less than 1·2% with –
(i) The critical engine inoperative
and its propeller in the minimum drag
position;
(ii) The remaining engine at not
more than maximum continuous power;
(iii) The landing gear retracted;
(iv) The wing flaps retracted; and
(v) A climb speed not less than
1·2 VSI.
(4) Discontinued approach. The steady
gradient of climb at an altitude of 122 m
(400 ft) above the landing surface must be not
less than 2·1% with –
(i) The critical engine inoperative
and its propeller in the minimum drag
position;
(ii) The remaining engine at takeoff
power;
(iii) The landing gear retracted;
(iv) The wing flaps in the approach
position(s) in which VSI for these
positions(s) does not exceed 110% of the
VSI for the related all-engines-operating
landing position(s); and
(v) A climb speed established in
connection with normal landing
procedures but not exceeding 1·5 VSI.
Lots of detail, but the executive summary is "yes, there's a minimum climb rate SE".
G